165253632 has 80 divisors (see below), whose sum is σ = 442983552. Its totient is φ = 54743040.

The previous prime is 165253609. The next prime is 165253633. The reversal of 165253632 is 236352561.

It is a junction number, because it is equal to n+sod(n) for n = 165253593 and 165253602.

It is not an unprimeable number, because it can be changed into a prime (165253633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416058 + ... + 416454.

Almost surely, 2^165253632 is an apocalyptic number.

165253632 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 165253632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221491776).

165253632 is an abundant number, since it is smaller than the sum of its proper divisors (277729920).

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

165253632 is an equidigital number, since it uses as much as digits as its factorization.

165253632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 673 counting only the distinct ones).

The product of its digits is 32400, while the sum is 33.

The square root of 165253632 is about 12855.1013998335. The cubic root of 165253632 is about 548.7615462068.

The spelling of 165253632 in words is "one hundred sixty-five million, two hundred fifty-three thousand, six hundred thirty-two".