164036565 has 72 divisors (see below), whose sum is σ = 360872928. Its totient is φ = 68160960.

The previous prime is 164036549. The next prime is 164036567. The reversal of 164036565 is 565630461.

164036565 = T₄₉₅ + T₄₉₆ + ... + T₁₀₃₃.

164036565 is a `hidden beast` number, since 1 + 64 + 0 + 36 + 565 = 666.

It is not a de Polignac number, because 164036565 - 2⁴ = 164036549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164036567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20874 + ... + 27636.

It is an arithmetic number, because the mean of its divisors is an integer number (5012124).

Almost surely, 2^164036565 is an apocalyptic number.

164036565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164036565 is an abundant number, since it is smaller than the sum of its proper divisors (196836363).

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

164036565 is a wasteful number, since it uses less digits than its factorization.

164036565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6799 (or 6789 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 164036565 is about 12807.6760187007. The cubic root of 164036565 is about 547.4110445331.

The spelling of 164036565 in words is "one hundred sixty-four million, thirty-six thousand, five hundred sixty-five".