45964 has 6 divisors (see below), whose sum is σ = 80444. Its totient is φ = 22980.

The previous prime is 45959. The next prime is 45971. The reversal of 45964 is 46954.

45964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45964² = 4225378592, which contains 22 as substring.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5742 + ... + 5749.

2⁴⁵⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

45964 is a deficient number, since it is larger than the sum of its proper divisors (34480).

45964 is a wasteful number, since it uses less digits than its factorization.

45964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11495 (or 11493 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 45964 is about 214.3921640359. The cubic root of 45964 is about 35.8211291893.

Subtracting 45964 from its reverse (46954), we obtain a triangular number (990 = T₄₄).

The spelling of 45964 in words is "forty-five thousand, nine hundred sixty-four".