Properties of the Number 1409

One Thousand Four Hundred Nine

Basics

Value: 1408 → 1409 → 1410

Parity: odd

Prime: Yes

Previous Prime: 1399

Next Prime: 1423

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 1409

Divisors: 1, 1409

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110000001

Octal: 2601

Duodecimal: 995

Hexadecimal: 581

Square: 1985281

Square Root: 37.53664875824692

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: Yes

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Sophie Germain primes p: 2p+1 is also prime. A5384

Prime-indexed primes: primes with prime subscripts. A6450

Number of partitions of n into parts 3k and 3k+1 with at least one part of each type. A35618

Primes that become another prime under the map 1 <-> 0 (acting on the digits: A222210), cf. A171013. A175791

a(1)=3, b(n) = ∏_k=1..n a(k), a(n+1) is the smallest prime factor of b(n)-1. A5265

First spoke of a hexagonal spiral. A56105

Primes that become a different prime under the mapping 0 <=> 2. A180517

Numbers n such that n, 2n+1, and 4n+3 all prime. A7700

Primes with only nonprime decimal digits. A34844

Numbers that are the sum of 12 positive 7th powers. A3379