257964 has 48 divisors (see below), whose sum is σ = 715008. Its totient is φ = 70848.

The previous prime is 257953. The next prime is 257981. The reversal of 257964 is 469752.

257964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

257964 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

257964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3067 + ... + 3149.

It is an arithmetic number, because the mean of its divisors is an integer number (14896).

2²⁵⁷⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357504).

257964 is an abundant number, since it is smaller than the sum of its proper divisors (457044).

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

257964 is a wasteful number, since it uses less digits than its factorization.

257964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 257964 is about 507.9015652663. The cubic root of 257964 is about 63.6580064912.

It can be divided in two parts, 257 and 964, that added together give a palindrome (1221).

The spelling of 257964 in words is "two hundred fifty-seven thousand, nine hundred sixty-four".