165033504 has 96 divisors (see below), whose sum is σ = 483900480. Its totient is φ = 54720000.

The previous prime is 165033503. The next prime is 165033511. The reversal of 165033504 is 405330561.

165033504 is a `hidden beast` number, since 1 + 650 + 3 + 3 + 5 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165033503) 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, 216484 + ... + 217244.

It is an arithmetic number, because the mean of its divisors is an integer number (5040630).

Almost surely, 2^165033504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165033504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241950240).

165033504 is an abundant number, since it is smaller than the sum of its proper divisors (318866976).

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

165033504 is a wasteful number, since it uses less digits than its factorization.

165033504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 165033504 is about 12846.5366539001. The cubic root of 165033504 is about 548.5177765609.

The spelling of 165033504 in words is "one hundred sixty-five million, thirty-three thousand, five hundred four".