165379536 has 160 divisors (see below), whose sum is σ = 574606080. Its totient is φ = 44457984.

The previous prime is 165379531. The next prime is 165379567. The reversal of 165379536 is 635973561.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 165379491 and 165379500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165379531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49800 + ... + 53016.

It is an arithmetic number, because the mean of its divisors is an integer number (3591288).

Almost surely, 2^165379536 is an apocalyptic number.

165379536 is a gapful number since it is divisible by the number (16) 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 165379536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287303040).

165379536 is an abundant number, since it is smaller than the sum of its proper divisors (409226544).

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

165379536 is a wasteful number, since it uses less digits than its factorization.

165379536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3246 counting only the distinct ones).

The product of its digits is 510300, while the sum is 45.

The square root of 165379536 is about 12859.9975116638. The cubic root of 165379536 is about 548.9008749340.

The spelling of 165379536 in words is "one hundred sixty-five million, three hundred seventy-nine thousand, five hundred thirty-six".