Properties of the Number 78541

Seventy-Eight Thousand Five Hundred Forty-One

Basics

Value: 78540 → 78541 → 78542

Parity: odd

Prime: Yes

Previous Prime: 78539

Next Prime: 78553

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 78541

Divisors: 1, 78541

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001011001101

Octal: 231315

Duodecimal: 39551

Hexadecimal: 132cd

Square: 6168688681

Square Root: 280.25167260874645

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Noncomposite numbers in the western ray of the Ulam spiral as oriented on the March 1964 cover of Scientific American. A168025

Primes p at which φ(p-1)/(p-1) reaches a new minimum, where φ is Euler's totient function. A241196

Numbers k such that k² contains only digits {1,6,8}. A53908

G.f.: ∏_k>=1 (1 + x^k*(k+1/2)) / (1 - x^k). A280421

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + n·b(n), where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences. A296294

Numbers p such that p, 2p-1, 3p-2, 4p-3 are primes. A336059

Centered 11-gonal (or hendecagonal) primes. A262344

Centered 22-gonal primes. A276262

Primes p such that p-2, p²-2 and p³-2 are all prime. A270972

Numbers n such that both n-1 and n are nonsquares and the least positive solutions to the Pell equations x1² - n·y1² =1 and x0²-(n-1)*y0² = 1 have a record for ρ(n)=log(x1)/log(x0). A303604