164313765 has 120 divisors (see below), whose sum is σ = 370782720. Its totient is φ = 68143680.

The previous prime is 164313763. The next prime is 164313803. The reversal of 164313765 is 567313461.

164313765 is a `hidden beast` number, since 1 + 643 + 1 + 3 + 7 + 6 + 5 = 666.

It is not a de Polignac number, because 164313765 - 2¹ = 164313763 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164313763) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 342796 + ... + 343274.

It is an arithmetic number, because the mean of its divisors is an integer number (3089856).

Almost surely, 2^164313765 is an apocalyptic number.

164313765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164313765 is an abundant number, since it is smaller than the sum of its proper divisors (206468955).

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

164313765 is a wasteful number, since it uses less digits than its factorization.

164313765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 505 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 164313765 is about 12818.4930861627. The cubic root of 164313765 is about 547.7192216498.

The spelling of 164313765 in words is "one hundred sixty-four million, three hundred thirteen thousand, seven hundred sixty-five".