164964 has 24 divisors (see below), whose sum is σ = 393120. Its totient is φ = 53824.

The previous prime is 164963. The next prime is 164987. The reversal of 164964 is 469461.

It is not an unprimeable number, because it can be changed into a prime (164963) 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, 592 + ... + 824.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2¹⁶⁴⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

164964 is an abundant number, since it is smaller than the sum of its proper divisors (228156).

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

164964 is a wasteful number, since it uses less digits than its factorization.

164964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 297 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 164964 is about 406.1576048777. The cubic root of 164964 is about 54.8440762840.

It can be divided in two parts, 164 and 964, that added together give a triangular number (1128 = T₄₇).

The spelling of 164964 in words is "one hundred sixty-four thousand, nine hundred sixty-four".