164475164 has 36 divisors (see below), whose sum is σ = 335600496. Its totient is φ = 70326144.

The previous prime is 164475163. The next prime is 164475169. The reversal of 164475164 is 461574461.

164475164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164475161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126164 + ... + 127460.

It is an arithmetic number, because the mean of its divisors is an integer number (9322236).

Almost surely, 2^164475164 is an apocalyptic number.

164475164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164475164 is an abundant number, since it is smaller than the sum of its proper divisors (171125332).

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

164475164 is a wasteful number, since it uses less digits than its factorization.

164475164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1953 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 164475164 is about 12824.7870937494. The cubic root of 164475164 is about 547.8984973707.

The spelling of 164475164 in words is "one hundred sixty-four million, four hundred seventy-five thousand, one hundred sixty-four".