165711312 has 160 divisors (see below), whose sum is σ = 539548800. Its totient is φ = 48273408.

The previous prime is 165711289. The next prime is 165711317. The reversal of 165711312 is 213117561.

165711312 is a `hidden beast` number, since 1 + 657 + 1 + 1 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×165711312² = 54920477849522688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165711317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105928 + ... + 107480.

It is an arithmetic number, because the mean of its divisors is an integer number (3372180).

Almost surely, 2^165711312 is an apocalyptic number.

165711312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165711312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269774400).

165711312 is an abundant number, since it is smaller than the sum of its proper divisors (373837488).

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

165711312 is a wasteful number, since it uses less digits than its factorization.

165711312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1590 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 165711312 is about 12872.8905844802. The cubic root of 165711312 is about 549.2676887395.

Adding to 165711312 its reverse (213117561), we get a palindrome (378828873).

The spelling of 165711312 in words is "one hundred sixty-five million, seven hundred eleven thousand, three hundred twelve".