165872934 has 40 divisors (see below), whose sum is σ = 378710640. Its totient is φ = 54244944.

The previous prime is 165872911. The next prime is 165872957. The reversal of 165872934 is 439278561.

165872934 is a `hidden beast` number, since 16 + 587 + 29 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (165872911) and next prime (165872957).

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 a self number, because there is not a number n which added to its sum of digits gives 165872934.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1074 + ... + 18245.

It is an arithmetic number, because the mean of its divisors is an integer number (9467766).

Almost surely, 2^165872934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165872934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189355320).

165872934 is an abundant number, since it is smaller than the sum of its proper divisors (212837706).

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

165872934 is a wasteful number, since it uses less digits than its factorization.

165872934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19386 (or 19377 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 165872934 is about 12879.1666655883. The cubic root of 165872934 is about 549.4462017932.

The spelling of 165872934 in words is "one hundred sixty-five million, eight hundred seventy-two thousand, nine hundred thirty-four".