16964 has 6 divisors (see below), whose sum is σ = 29694. Its totient is φ = 8480.

The previous prime is 16963. The next prime is 16979. The reversal of 16964 is 46961.

It can be written as a sum of positive squares in only one way, i.e., 16900 + 64 = 130^2 + 8^2 .

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (16963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2117 + ... + 2124.

It is an arithmetic number, because the mean of its divisors is an integer number (4949).

2¹⁶⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

16964 is a deficient number, since it is larger than the sum of its proper divisors (12730).

16964 is a wasteful number, since it uses less digits than its factorization.

16964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4245 (or 4243 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 16964 is about 130.2459212413. The cubic root of 16964 is about 25.6946528566.

It can be divided in two parts, 169 and 64, that multiplied together give a square (10816 = 104²).

The spelling of 16964 in words is "sixteen thousand, nine hundred sixty-four".