165464832 has 72 divisors (see below), whose sum is σ = 474281584. Its totient is φ = 50909184.

The previous prime is 165464821. The next prime is 165464843. The reversal of 165464832 is 238464561.

It is an interprime number because it is at equal distance from previous prime (165464821) and next prime (165464843).

It is a super-2 number, since 2×165464832² = 54757221257576448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1698 + ... + 18270.

Almost surely, 2^165464832 is an apocalyptic number.

165464832 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 165464832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237140792).

165464832 is an abundant number, since it is smaller than the sum of its proper divisors (308816752).

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

165464832 is a wasteful number, since it uses less digits than its factorization.

165464832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16605 (or 16591 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 165464832 is about 12863.3134145134. The cubic root of 165464832 is about 548.9952255881.

The spelling of 165464832 in words is "one hundred sixty-five million, four hundred sixty-four thousand, eight hundred thirty-two".