257322 has 16 divisors (see below), whose sum is σ = 554400. Its totient is φ = 79152.

The previous prime is 257321. The next prime is 257339. The reversal of 257322 is 223752.

It is a super-2 number, since 2×257322² = 132429223368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1572 + ... + 1727.

It is an arithmetic number, because the mean of its divisors is an integer number (34650).

2²⁵⁷³²² is an apocalyptic number.

257322 is an abundant number, since it is smaller than the sum of its proper divisors (297078).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257322 is a wasteful number, since it uses less digits than its factorization.

257322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317.

The product of its digits is 840, while the sum is 21.

The square root of 257322 is about 507.2691593227. The cubic root of 257322 is about 63.6051536506.

The spelling of 257322 in words is "two hundred fifty-seven thousand, three hundred twenty-two".