253964 has 12 divisors (see below), whose sum is σ = 448224. Its totient is φ = 125904.

The previous prime is 253951. The next prime is 253969. The reversal of 253964 is 469352.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253964.

It is not an unprimeable number, because it can be changed into a prime (253969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 509 + ... + 875.

It is an arithmetic number, because the mean of its divisors is an integer number (37352).

2²⁵³⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

253964 is a deficient number, since it is larger than the sum of its proper divisors (194260).

253964 is a wasteful number, since it uses less digits than its factorization.

253964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 542 counting only the distinct ones).

The product of its digits is 6480, while the sum is 29.

The square root of 253964 is about 503.9484100580. The cubic root of 253964 is about 63.3272631917.

The spelling of 253964 in words is "two hundred fifty-three thousand, nine hundred sixty-four".