165338004 has 96 divisors (see below), whose sum is σ = 433520640. Its totient is φ = 48700800.

The previous prime is 165337993. The next prime is 165338009. The reversal of 165338004 is 400833561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165338009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 865549 + ... + 865739.

It is an arithmetic number, because the mean of its divisors is an integer number (4515840).

Almost surely, 2^165338004 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 165338004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216760320).

165338004 is an abundant number, since it is smaller than the sum of its proper divisors (268182636).

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

165338004 is a wasteful number, since it uses less digits than its factorization.

165338004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 165338004 is about 12858.3826354639. The cubic root of 165338004 is about 548.8549223325.

The spelling of 165338004 in words is "one hundred sixty-five million, three hundred thirty-eight thousand, four".