164964415 has 32 divisors (see below), whose sum is σ = 249131520. Its totient is φ = 101865600.

The previous prime is 164964391. The next prime is 164964419. The reversal of 164964415 is 514469461.

It is not a de Polignac number, because 164964415 - 2⁷ = 164964287 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164964419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40000 + ... + 43930.

It is an arithmetic number, because the mean of its divisors is an integer number (7785360).

Almost surely, 2^164964415 is an apocalyptic number.

164964415 is a deficient number, since it is larger than the sum of its proper divisors (84167105).

164964415 is a wasteful number, since it uses less digits than its factorization.

164964415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063.

The product of its digits is 103680, while the sum is 40.

The square root of 164964415 is about 12843.8473597283. The cubic root of 164964415 is about 548.4412227435.

The spelling of 164964415 in words is "one hundred sixty-four million, nine hundred sixty-four thousand, four hundred fifteen".