165822528 has 56 divisors (see below), whose sum is σ = 442679328. Its totient is φ = 54777856.

The previous prime is 165822497. The next prime is 165822581. The reversal of 165822528 is 825228561.

It is a super-2 number, since 2×165822528² = 54994221584621568, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17875 + ... + 25517.

It is an arithmetic number, because the mean of its divisors is an integer number (7904988).

Almost surely, 2^165822528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165822528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221339664).

165822528 is an abundant number, since it is smaller than the sum of its proper divisors (276856800).

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

165822528 is a wasteful number, since it uses less digits than its factorization.

165822528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7771 (or 7761 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 165822528 is about 12877.2096356315. The cubic root of 165822528 is about 549.3905403290.

It can be divided in two parts, 16582 and 2528, that added together give a triangular number (19110 = T₁₉₅).

The spelling of 165822528 in words is "one hundred sixty-five million, eight hundred twenty-two thousand, five hundred twenty-eight".