164764 has 12 divisors (see below), whose sum is σ = 305424. Its totient is φ = 77504.

The previous prime is 164743. The next prime is 164767. The reversal of 164764 is 467461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1144 + ... + 1279.

It is an arithmetic number, because the mean of its divisors is an integer number (25452).

2¹⁶⁴⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

164764 is a deficient number, since it is larger than the sum of its proper divisors (140660).

164764 is a wasteful number, since it uses less digits than its factorization.

164764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2442 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 164764 is about 405.9113203644. The cubic root of 164764 is about 54.8219032623.

It can be divided in two parts, 1647 and 64, that added together give a triangular number (1711 = T₅₈).

The spelling of 164764 in words is "one hundred sixty-four thousand, seven hundred sixty-four".