369964 has 24 divisors (see below), whose sum is σ = 754208. Its totient is φ = 155520.

The previous prime is 369961. The next prime is 369979. The reversal of 369964 is 469963.

369964 = 32² + 33² + ... + 104².

It is a super-2 number, since 2×369964² = 273746722592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (369961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1954 + ... + 2134.

2³⁶⁹⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

369964 is an abundant number, since it is smaller than the sum of its proper divisors (384244).

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

369964 is a wasteful number, since it uses less digits than its factorization.

369964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 263 counting only the distinct ones).

The product of its digits is 34992, while the sum is 37.

The square root of 369964 is about 608.2466604923. The cubic root of 369964 is about 71.7882151032.

Subtracting 369964 from its reverse (469963), we obtain a palindrome (99999).

It can be divided in two parts, 36 and 9964, that added together give a 4-th power (10000 = 10⁴).

The spelling of 369964 in words is "three hundred sixty-nine thousand, nine hundred sixty-four".