165332000 has 48 divisors (see below), whose sum is σ = 406230552. Its totient is φ = 66131200.

The previous prime is 165331997. The next prime is 165332017. The reversal of 165332000 is 233561.

It can be written as a sum of positive squares in 4 ways, for example, as 93624976 + 71707024 = 9676^2 + 8468^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16667 + ... + 24666.

Almost surely, 2^165332000 is an apocalyptic number.

165332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165332000 is an abundant number, since it is smaller than the sum of its proper divisors (240898552).

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

165332000 is an equidigital number, since it uses as much as digits as its factorization.

165332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41358 (or 41340 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 165332000 is about 12858.1491669680. The cubic root of 165332000 is about 548.8482786394.

Adding to 165332000 its reverse (233561), we get a palindrome (165565561).

The spelling of 165332000 in words is "one hundred sixty-five million, three hundred thirty-two thousand".