164835873 has 12 divisors (see below), whose sum is σ = 238394260. Its totient is φ = 109753056.

The previous prime is 164835809. The next prime is 164835877. The reversal of 164835873 is 378538461.

164835873 is a `hidden beast` number, since 1 + 64 + 8 + 3 + 587 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126495009 + 38340864 = 11247^2 + 6192^2 .

It is not a de Polignac number, because 164835873 - 2⁶ = 164835809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164835877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3586 + ... + 18507.

Almost surely, 2^164835873 is an apocalyptic number.

It is an amenable number.

164835873 is a deficient number, since it is larger than the sum of its proper divisors (73558387).

164835873 is a wasteful number, since it uses less digits than its factorization.

164835873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22928 (or 22925 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 164835873 is about 12838.8423543558. The cubic root of 164835873 is about 548.2987353461.

The spelling of 164835873 in words is "one hundred sixty-four million, eight hundred thirty-five thousand, eight hundred seventy-three".