53964 has 18 divisors (see below), whose sum is σ = 136500. Its totient is φ = 17976.

The previous prime is 53959. The next prime is 53987. The reversal of 53964 is 46935.

It is a happy number.

53964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×53964² = 5824226592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 714 + ... + 785.

2⁵³⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

53964 is an abundant number, since it is smaller than the sum of its proper divisors (82536).

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

53964 is a wasteful number, since it uses less digits than its factorization.

53964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1504 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 53964 is about 232.3015281913. The cubic root of 53964 is about 37.7892301559.

It can be divided in two parts, 5 and 3964, that added together give a square (3969 = 63²).

The spelling of 53964 in words is "fifty-three thousand, nine hundred sixty-four".