164113065 has 12 divisors (see below), whose sum is σ = 284462724. Its totient is φ = 87526944.

The previous prime is 164113009. The next prime is 164113067. The reversal of 164113065 is 560311461.

164113065 is a `hidden beast` number, since 1 + 641 + 13 + 0 + 6 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81866304 + 82246761 = 9048^2 + 9069^2 .

It is not a de Polignac number, because 164113065 - 2²¹ = 162015913 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164113067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1823434 + ... + 1823523.

It is an arithmetic number, because the mean of its divisors is an integer number (23705227).

Almost surely, 2^164113065 is an apocalyptic number.

164113065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164113065 is a deficient number, since it is larger than the sum of its proper divisors (120349659).

164113065 is a wasteful number, since it uses less digits than its factorization.

164113065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646968 (or 3646965 counting only the distinct ones).

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

The square root of 164113065 is about 12810.6621608721. The cubic root of 164113065 is about 547.4961280767.

It can be divided in two parts, 1641 and 13065, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 164113065 in words is "one hundred sixty-four million, one hundred thirteen thousand, sixty-five".