165705210 has 64 divisors (see below), whose sum is σ = 482060160. Its totient is φ = 40170240.

The previous prime is 165705209. The next prime is 165705227. The reversal of 165705210 is 12507561.

165705210 is a `hidden beast` number, since 1 + 657 + 0 + 5 + 2 + 1 + 0 = 666.

It is a super-2 number, since 2×165705210² = 54916433242288200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 24927 + ... + 30866.

It is an arithmetic number, because the mean of its divisors is an integer number (7532190).

Almost surely, 2^165705210 is an apocalyptic number.

165705210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

165705210 is an abundant number, since it is smaller than the sum of its proper divisors (316354950).

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

165705210 is a wasteful number, since it uses less digits than its factorization.

165705210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55820 (or 55814 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 165705210 is about 12872.6535725933. The cubic root of 165705210 is about 549.2609467484.

The spelling of 165705210 in words is "one hundred sixty-five million, seven hundred five thousand, two hundred ten".