165042820 has 24 divisors (see below), whose sum is σ = 352274328. Its totient is φ = 64934400.

The previous prime is 165042769. The next prime is 165042827. The reversal of 165042820 is 28240561.

It can be written as a sum of positive squares in 4 ways, for example, as 6081156 + 158961664 = 2466^2 + 12608^2 .

It is not an unprimeable number, because it can be changed into a prime (165042827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66421 + ... + 68860.

It is an arithmetic number, because the mean of its divisors is an integer number (14678097).

Almost surely, 2^165042820 is an apocalyptic number.

165042820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165042820 is an abundant number, since it is smaller than the sum of its proper divisors (187231508).

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

165042820 is a wasteful number, since it uses less digits than its factorization.

165042820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135351 (or 135349 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 165042820 is about 12846.8992367808. The cubic root of 165042820 is about 548.5280974863.

The spelling of 165042820 in words is "one hundred sixty-five million, forty-two thousand, eight hundred twenty".