18964 has 12 divisors (see below), whose sum is σ = 36288. Its totient is φ = 8600.

The previous prime is 18959. The next prime is 18973. The reversal of 18964 is 46981.

18964 = 6² + 7² + ... + 38².

It is a plaindrome in base 6.

It is a congruent number.

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 in 3 ways as a sum of consecutive naturals, for example, 172 + ... + 259.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2¹⁸⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

18964 is a deficient number, since it is larger than the sum of its proper divisors (17324).

18964 is a wasteful number, since it uses less digits than its factorization.

18964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 444 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 18964 is about 137.7098398808. The cubic root of 18964 is about 26.6671527689.

It can be divided in two parts, 189 and 64, that added together give a triangular number (253 = T₂₂).

The spelling of 18964 in words is "eighteen thousand, nine hundred sixty-four".