165213108 has 60 divisors (see below), whose sum is σ = 442469412. Its totient is φ = 53723520.

The previous prime is 165213079. The next prime is 165213121. The reversal of 165213108 is 801312561.

165213108 is a `hidden beast` number, since 1 + 652 + 1 + 3 + 1 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6906384 + 158306724 = 2628^2 + 12582^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7066 + ... + 19502.

Almost surely, 2^165213108 is an apocalyptic number.

165213108 is a gapful number since it is divisible by the number (18) 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 165213108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221234706).

165213108 is an abundant number, since it is smaller than the sum of its proper divisors (277256304).

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

165213108 is a wasteful number, since it uses less digits than its factorization.

165213108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12494 (or 12483 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 165213108 is about 12853.5251195927. The cubic root of 165213108 is about 548.7166862126.

Adding to 165213108 its reverse (801312561), we get a palindrome (966525669).

The spelling of 165213108 in words is "one hundred sixty-five million, two hundred thirteen thousand, one hundred eight".