813257 has 8 divisors (see below), whose sum is σ = 893760. Its totient is φ = 736560.

The previous prime is 813251. The next prime is 813269. The reversal of 813257 is 752318.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 813257 - 2¹⁰ = 812233 is a prime.

It is a super-2 number, since 2×813257² = 1322773896098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (813251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494 + ... + 1367.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

2⁸¹³²⁵⁷ is an apocalyptic number.

It is an amenable number.

813257 is a deficient number, since it is larger than the sum of its proper divisors (80503).

813257 is a wasteful number, since it uses less digits than its factorization.

813257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903.

The product of its digits is 1680, while the sum is 26.

The square root of 813257 is about 901.8076291538. The cubic root of 813257 is about 93.3417495245.

The spelling of 813257 in words is "eight hundred thirteen thousand, two hundred fifty-seven".