165083058 has 72 divisors (see below), whose sum is σ = 438019920. Its totient is φ = 44679600.

The previous prime is 165083047. The next prime is 165083059. The reversal of 165083058 is 850380561.

It is a super-3 number, since 3×165083058³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (165083059) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11833 + ... + 21683.

It is an arithmetic number, because the mean of its divisors is an integer number (6083610).

Almost surely, 2^165083058 is an apocalyptic number.

165083058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165083058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219009960).

165083058 is an abundant number, since it is smaller than the sum of its proper divisors (272936862).

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

165083058 is a wasteful number, since it uses less digits than its factorization.

165083058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9892 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 165083058 is about 12848.4652001708. The cubic root of 165083058 is about 548.5726715350.

The spelling of 165083058 in words is "one hundred sixty-five million, eighty-three thousand, fifty-eight".