905257 has 4 divisors (see below), whose sum is σ = 944640. Its totient is φ = 865876.

The previous prime is 905249. The next prime is 905269. The reversal of 905257 is 752509.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 752509 = 479 ⋅1571.

It is a cyclic number.

It is not a de Polignac number, because 905257 - 2³ = 905249 is a prime.

It is a Duffinian number.

905257 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (905207) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19657 + ... + 19702.

It is an arithmetic number, because the mean of its divisors is an integer number (236160).

2⁹⁰⁵²⁵⁷ is an apocalyptic number.

It is an amenable number.

905257 is a deficient number, since it is larger than the sum of its proper divisors (39383).

905257 is a wasteful number, since it uses less digits than its factorization.

905257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39382.

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 905257 is about 951.4499461348. The cubic root of 905257 is about 96.7365579903.

The spelling of 905257 in words is "nine hundred five thousand, two hundred fifty-seven".