164577021 has 16 divisors (see below), whose sum is σ = 253131264. Its totient is φ = 93163824.

The previous prime is 164577013. The next prime is 164577037. The reversal of 164577021 is 120775461.

It is not a de Polignac number, because 164577021 - 2³ = 164577013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164577011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34375 + ... + 38868.

It is an arithmetic number, because the mean of its divisors is an integer number (15820704).

Almost surely, 2^164577021 is an apocalyptic number.

It is an amenable number.

164577021 is a deficient number, since it is larger than the sum of its proper divisors (88554243).

164577021 is a wasteful number, since it uses less digits than its factorization.

164577021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73360.

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 164577021 is about 12828.7575781913. The cubic root of 164577021 is about 548.0115758029.

The spelling of 164577021 in words is "one hundred sixty-four million, five hundred seventy-seven thousand, twenty-one".