365964 has 12 divisors (see below), whose sum is σ = 853944. Its totient is φ = 121984.

The previous prime is 365941. The next prime is 365969. The reversal of 365964 is 469563.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nialpdrome in base 13.

It is a zygodrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365964.

It is not an unprimeable number, because it can be changed into a prime (365969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15237 + ... + 15260.

It is an arithmetic number, because the mean of its divisors is an integer number (71162).

2³⁶⁵⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

365964 is an abundant number, since it is smaller than the sum of its proper divisors (487980).

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

365964 is a wasteful number, since it uses less digits than its factorization.

365964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30504 (or 30502 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 365964 is about 604.9495846763. The cubic root of 365964 is about 71.5285555981.

The spelling of 365964 in words is "three hundred sixty-five thousand, nine hundred sixty-four".