165379032 has 192 divisors, whose sum is σ = 565044480. Its totient is φ = 42529536.

The previous prime is 165379031. The next prime is 165379033. The reversal of 165379032 is 230973561.

165379032 is a `hidden beast` number, since 1 + 6 + 537 + 90 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (165379031) and next prime (165379033).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165379031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281443 + ... + 282029.

It is an arithmetic number, because the mean of its divisors is an integer number (2942940).

Almost surely, 2^165379032 is an apocalyptic number.

165379032 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 165379032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282522240).

165379032 is an abundant number, since it is smaller than the sum of its proper divisors (399665448).

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

165379032 is a wasteful number, since it uses less digits than its factorization.

165379032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 165379032 is about 12859.9779159997. The cubic root of 165379032 is about 548.9003173351.

The spelling of 165379032 in words is "one hundred sixty-five million, three hundred seventy-nine thousand, thirty-two".