165285952 has 56 divisors (see below), whose sum is σ = 355052376. Its totient is φ = 75890688.

The previous prime is 165285949. The next prime is 165285977. The reversal of 165285952 is 259582561.

It can be written as a sum of positive squares in 4 ways, for example, as 11128896 + 154157056 = 3336^2 + 12416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 165285899 and 165285908.

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, 213438 + ... + 214210.

It is an arithmetic number, because the mean of its divisors is an integer number (6340221).

Almost surely, 2^165285952 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 165285952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177526188).

165285952 is an abundant number, since it is smaller than the sum of its proper divisors (189766424).

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

165285952 is a wasteful number, since it uses less digits than its factorization.

165285952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1045 counting only the distinct ones).

The product of its digits is 216000, while the sum is 43.

The square root of 165285952 is about 12856.3584268641. The cubic root of 165285952 is about 548.7973191311.

The spelling of 165285952 in words is "one hundred sixty-five million, two hundred eighty-five thousand, nine hundred fifty-two".