165957198 has 64 divisors (see below), whose sum is σ = 386795520. Its totient is φ = 46972800.

The previous prime is 165957161. The next prime is 165957277. The reversal of 165957198 is 891759561.

165957198 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×165957198² = 55083583136022408, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 165957198.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57936 + ... + 60732.

It is an arithmetic number, because the mean of its divisors is an integer number (6043680).

Almost surely, 2^165957198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165957198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193397760).

165957198 is an abundant number, since it is smaller than the sum of its proper divisors (220838322).

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

165957198 is a wasteful number, since it uses less digits than its factorization.

165957198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873.

The product of its digits is 680400, while the sum is 51.

The square root of 165957198 is about 12882.4375798992. The cubic root of 165957198 is about 549.5392262063.

The spelling of 165957198 in words is "one hundred sixty-five million, nine hundred fifty-seven thousand, one hundred ninety-eight".