164977416 has 24 divisors (see below), whose sum is σ = 446814030. Its totient is φ = 54992448.

The previous prime is 164977387. The next prime is 164977441. The reversal of 164977416 is 614779461.

164977416 is a `hidden beast` number, since 164 + 9 + 77 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 162562500 + 2414916 = 12750^2 + 1554^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1145605 + ... + 1145748.

Almost surely, 2^164977416 is an apocalyptic number.

It is an amenable number.

164977416 is an abundant number, since it is smaller than the sum of its proper divisors (281836614).

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

164977416 is a wasteful number, since it uses less digits than its factorization.

164977416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291365 (or 2291358 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 164977416 is about 12844.3534675748. The cubic root of 164977416 is about 548.4556300871.

The spelling of 164977416 in words is "one hundred sixty-four million, nine hundred seventy-seven thousand, four hundred sixteen".