52964 has 6 divisors (see below), whose sum is σ = 92694. Its totient is φ = 26480.

The previous prime is 52963. The next prime is 52967. The reversal of 52964 is 46925.

It can be written as a sum of positive squares in only one way, i.e., 52900 + 64 = 230^2 + 8^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52964.

It is not an unprimeable number, because it can be changed into a prime (52963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6617 + ... + 6624.

It is an arithmetic number, because the mean of its divisors is an integer number (15449).

2⁵²⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

52964 is a deficient number, since it is larger than the sum of its proper divisors (39730).

52964 is a wasteful number, since it uses less digits than its factorization.

52964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13245 (or 13243 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 52964 is about 230.1390883792. The cubic root of 52964 is about 37.5543508179.

It can be divided in two parts, 529 and 64, that multiplied together give a square (33856 = 184²).

The spelling of 52964 in words is "fifty-two thousand, nine hundred sixty-four".