165413016 has 112 divisors (see below), whose sum is σ = 470995560. Its totient is φ = 54432000.

The previous prime is 165412981. The next prime is 165413023. The reversal of 165413016 is 610314561.

165413016 is a `hidden beast` number, since 1 + 654 + 1 + 3 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×165413016² = 54722931724432512, which contains 22 as substring.

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 27 ways as a sum of consecutive naturals, for example, 658891 + ... + 659141.

Almost surely, 2^165413016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165413016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235497780).

165413016 is an abundant number, since it is smaller than the sum of its proper divisors (305582544).

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

165413016 is a wasteful number, since it uses less digits than its factorization.

165413016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 165413016 is about 12861.2991567726. The cubic root of 165413016 is about 548.9379128928.

Adding to 165413016 its reverse (610314561), we get a palindrome (775727577).

The spelling of 165413016 in words is "one hundred sixty-five million, four hundred thirteen thousand, sixteen".