64164001 has 12 divisors (see below), whose sum is σ = 74678436. Its totient is φ = 54897920.

The previous prime is 64163993. The next prime is 64164059. The reversal of 64164001 is 10046146.

It can be written as a sum of positive squares in 2 ways, for example, as 41267776 + 22896225 = 6424^2 + 4785^2 .

It is not a de Polignac number, because 64164001 - 2³ = 64163993 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64164101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13540 + ... + 17653.

It is an arithmetic number, because the mean of its divisors is an integer number (6223203).

Almost surely, 2^64164001 is an apocalyptic number.

It is an amenable number.

64164001 is a deficient number, since it is larger than the sum of its proper divisors (10514435).

64164001 is a wasteful number, since it uses less digits than its factorization.

64164001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31232 (or 31221 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 64164001 is about 8010.2435044136. The cubic root of 64164001 is about 400.3413773209.

The spelling of 64164001 in words is "sixty-four million, one hundred sixty-four thousand, one".