164729817 has 36 divisors (see below), whose sum is σ = 279457776. Its totient is φ = 93224880.

The previous prime is 164729771. The next prime is 164729819. The reversal of 164729817 is 718927461.

It is a happy number.

It is not a de Polignac number, because 164729817 - 2¹² = 164725721 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (164729819) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45442 + ... + 48932.

It is an arithmetic number, because the mean of its divisors is an integer number (7762716).

Almost surely, 2^164729817 is an apocalyptic number.

It is an amenable number.

164729817 is a deficient number, since it is larger than the sum of its proper divisors (114727959).

164729817 is a wasteful number, since it uses less digits than its factorization.

164729817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3608 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 164729817 is about 12834.7114108577. The cubic root of 164729817 is about 548.1811176507.

The spelling of 164729817 in words is "one hundred sixty-four million, seven hundred twenty-nine thousand, eight hundred seventeen".