164977137 has 48 divisors (see below), whose sum is σ = 270885888. Its totient is φ = 95990400.

The previous prime is 164977093. The next prime is 164977139. The reversal of 164977137 is 731779461.

It is a happy number.

It is not a de Polignac number, because 164977137 - 2⁶ = 164977073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164977092 and 164977101.

It is not an unprimeable number, because it can be changed into a prime (164977139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271488 + ... + 272094.

It is an arithmetic number, because the mean of its divisors is an integer number (5643456).

Almost surely, 2^164977137 is an apocalyptic number.

It is an amenable number.

164977137 is a deficient number, since it is larger than the sum of its proper divisors (105908751).

164977137 is a wasteful number, since it uses less digits than its factorization.

164977137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 747 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 164977137 is about 12844.3426067666. The cubic root of 164977137 is about 548.4553209151.

The spelling of 164977137 in words is "one hundred sixty-four million, nine hundred seventy-seven thousand, one hundred thirty-seven".