165952820 has 48 divisors (see below), whose sum is σ = 396724608. Its totient is φ = 57720960.

The previous prime is 165952811. The next prime is 165952823. The reversal of 165952820 is 28259561.

165952820 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165952823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11339 + ... + 21458.

It is an arithmetic number, because the mean of its divisors is an integer number (8265096).

Almost surely, 2^165952820 is an apocalyptic number.

165952820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165952820 is an abundant number, since it is smaller than the sum of its proper divisors (230771788).

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

165952820 is a wasteful number, since it uses less digits than its factorization.

165952820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32840 (or 32838 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 165952820 is about 12882.2676575206. The cubic root of 165952820 is about 549.5343938280.

The spelling of 165952820 in words is "one hundred sixty-five million, nine hundred fifty-two thousand, eight hundred twenty".