165212784 has 120 divisors (see below), whose sum is σ = 523216512. Its totient is φ = 50051520.

The previous prime is 165212767. The next prime is 165212791. The reversal of 165212784 is 487212561.

165212784 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-3 number, since 3×165212784³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40837 + ... + 44699.

Almost surely, 2^165212784 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 165212784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261608256).

165212784 is an abundant number, since it is smaller than the sum of its proper divisors (358003728).

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

165212784 is a wasteful number, since it uses less digits than its factorization.

165212784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897 (or 3879 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 165212784 is about 12853.5125160401. The cubic root of 165212784 is about 548.7163275156.

The spelling of 165212784 in words is "one hundred sixty-five million, two hundred twelve thousand, seven hundred eighty-four".