36964 has 6 divisors (see below), whose sum is σ = 64694. Its totient is φ = 18480.

The previous prime is 36947. The next prime is 36973. The reversal of 36964 is 46963.

It can be written as a sum of positive squares in only one way, i.e., 36864 + 100 = 192^2 + 10^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4617 + ... + 4624.

2³⁶⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

36964 is a deficient number, since it is larger than the sum of its proper divisors (27730).

36964 is a wasteful number, since it uses less digits than its factorization.

36964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9245 (or 9243 counting only the distinct ones).

The product of its digits is 3888, while the sum is 28.

The square root of 36964 is about 192.2602402994. The cubic root of 36964 is about 33.3114078035.

Subtracting 36964 from its reverse (46963), we obtain a palindrome (9999).

It can be divided in two parts, 36 and 964, that added together give a cube (1000 = 10³).

The spelling of 36964 in words is "thirty-six thousand, nine hundred sixty-four".