365984 has 12 divisors (see below), whose sum is σ = 720594. Its totient is φ = 182976.

The previous prime is 365983. The next prime is 366001. The reversal of 365984 is 489563.

It can be written as a sum of positive squares in only one way, i.e., 336400 + 29584 = 580^2 + 172^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 365984.

It is not an unprimeable number, because it can be changed into a prime (365983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5687 + ... + 5750.

2³⁶⁵⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

365984 is a deficient number, since it is larger than the sum of its proper divisors (354610).

365984 is a wasteful number, since it uses less digits than its factorization.

365984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11447 (or 11439 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 365984 is about 604.9661147535. The cubic root of 365984 is about 71.5298585906.

The spelling of 365984 in words is "three hundred sixty-five thousand, nine hundred eighty-four".