257331 has 8 divisors (see below), whose sum is σ = 354304. Its totient is φ = 165960.

The previous prime is 257321. The next prime is 257339. The reversal of 257331 is 133752.

It is a happy number.

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

It is not a de Polignac number, because 257331 - 2¹⁰ = 256307 is a prime.

It is a super-2 number, since 2×257331² = 132438487122, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹¹ + 5⁷ + 3 + 7 + 3¹¹ + 1 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257298 and 257307.

It is not an unprimeable number, because it can be changed into a prime (257339) 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, 1291 + ... + 1476.

It is an arithmetic number, because the mean of its divisors is an integer number (44288).

2²⁵⁷³³¹ is an apocalyptic number.

257331 is a deficient number, since it is larger than the sum of its proper divisors (96973).

257331 is a wasteful number, since it uses less digits than its factorization.

257331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801.

The product of its digits is 630, while the sum is 21.

The square root of 257331 is about 507.2780302753. The cubic root of 257331 is about 63.6058951855.

The spelling of 257331 in words is "two hundred fifty-seven thousand, three hundred thirty-one".