165837630 has 64 divisors (see below), whose sum is σ = 457486848. Its totient is φ = 37687680.

The previous prime is 165837587. The next prime is 165837641. The reversal of 165837630 is 36738561.

It is a congruent number.

It is an unprimeable number.

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, 35829 + ... + 40191.

It is an arithmetic number, because the mean of its divisors is an integer number (7148232).

Almost surely, 2^165837630 is an apocalyptic number.

165837630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165837630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228743424).

165837630 is an abundant number, since it is smaller than the sum of its proper divisors (291649218).

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

165837630 is a wasteful number, since it uses less digits than its factorization.

165837630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561.

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 165837630 is about 12877.7960070813. The cubic root of 165837630 is about 549.4072180872.

The spelling of 165837630 in words is "one hundred sixty-five million, eight hundred thirty-seven thousand, six hundred thirty".