165484032 has 80 divisors (see below), whose sum is σ = 503872512. Its totient is φ = 47278080.

The previous prime is 165484027. The next prime is 165484043. The reversal of 165484032 is 230484561.

It is a junction number, because it is equal to n+sod(n) for n = 165483984 and 165484002.

It is a congruent number.

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, 3057 + ... + 18447.

Almost surely, 2^165484032 is an apocalyptic number.

165484032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165484032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251936256).

165484032 is an abundant number, since it is smaller than the sum of its proper divisors (338388480).

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

165484032 is an equidigital number, since it uses as much as digits as its factorization.

165484032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15419 (or 15403 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 165484032 is about 12864.0597013540. The cubic root of 165484032 is about 549.0164593059.

The spelling of 165484032 in words is "one hundred sixty-five million, four hundred eighty-four thousand, thirty-two".