165335820 has 48 divisors (see below), whose sum is σ = 498553440. Its totient is φ = 40697856.

The previous prime is 165335791. The next prime is 165335827. The reversal of 165335820 is 28533561.

165335820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (165335827) 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, 105205 + ... + 106764.

It is an arithmetic number, because the mean of its divisors is an integer number (10386530).

Almost surely, 2^165335820 is an apocalyptic number.

165335820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165335820 is an abundant number, since it is smaller than the sum of its proper divisors (333217620).

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

165335820 is a wasteful number, since it uses less digits than its factorization.

165335820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211994 (or 211992 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 165335820 is about 12858.2977100392. The cubic root of 165335820 is about 548.8525056579.

It can be divided in two parts, 1653 and 35820, that added together give a palindrome (37473).

The spelling of 165335820 in words is "one hundred sixty-five million, three hundred thirty-five thousand, eight hundred twenty".