257346831 has 16 divisors (see below), whose sum is σ = 395239424. Its totient is φ = 145895904.

The previous prime is 257346829. The next prime is 257346847. The reversal of 257346831 is 138643752.

It is not a de Polignac number, because 257346831 - 2¹ = 257346829 is a prime.

It is a super-2 number, since 2×257346831² = 132454782851485122, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 257346831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257346851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45580 + ... + 50913.

It is an arithmetic number, because the mean of its divisors is an integer number (24702464).

Almost surely, 2^257346831 is an apocalyptic number.

257346831 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

257346831 is a deficient number, since it is larger than the sum of its proper divisors (137892593).

257346831 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 257346831 = (587216433)₉.

257346831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96630.

The product of its digits is 120960, while the sum is 39.

The square root of 257346831 is about 16042.0332564173. The cubic root of 257346831 is about 636.0719950341.

The spelling of 257346831 in words is "two hundred fifty-seven million, three hundred forty-six thousand, eight hundred thirty-one".