165131772 has 48 divisors (see below), whose sum is σ = 415810080. Its totient is φ = 50704128.

The previous prime is 165131749. The next prime is 165131773. The reversal of 165131772 is 277131561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165131773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109858 + ... + 111350.

It is an arithmetic number, because the mean of its divisors is an integer number (8662710).

Almost surely, 2^165131772 is an apocalyptic number.

165131772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165131772 is an abundant number, since it is smaller than the sum of its proper divisors (250678308).

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

165131772 is a wasteful number, since it uses less digits than its factorization.

165131772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2220 counting only the distinct ones).

The product of its digits is 8820, while the sum is 33.

The square root of 165131772 is about 12850.3607731456. The cubic root of 165131772 is about 548.6266252666.

The spelling of 165131772 in words is "one hundred sixty-five million, one hundred thirty-one thousand, seven hundred seventy-two".