165501312 has 64 divisors (see below), whose sum is σ = 453826560. Its totient is φ = 53383680.

The previous prime is 165501283. The next prime is 165501319. The reversal of 165501312 is 213105561.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165501319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4953 + ... + 18855.

It is an arithmetic number, because the mean of its divisors is an integer number (7091040).

Almost surely, 2^165501312 is an apocalyptic number.

165501312 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 165501312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226913280).

165501312 is an abundant number, since it is smaller than the sum of its proper divisors (288325248).

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

165501312 is a wasteful number, since it uses less digits than its factorization.

165501312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13951 (or 13939 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 165501312 is about 12864.7313224956. The cubic root of 165501312 is about 549.0355682478.

Adding to 165501312 its reverse (213105561), we get a palindrome (378606873).

The spelling of 165501312 in words is "one hundred sixty-five million, five hundred one thousand, three hundred twelve".