164042613 has 12 divisors (see below), whose sum is σ = 270800608. Its totient is φ = 93738600.

The previous prime is 164042587. The next prime is 164042629. The reversal of 164042613 is 316240461.

164042613 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 42 + 613 = 666.

It is not a de Polignac number, because 164042613 - 2¹⁴ = 164026229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164042633) 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, 1301863 + ... + 1301988.

Almost surely, 2^164042613 is an apocalyptic number.

It is an amenable number.

164042613 is a deficient number, since it is larger than the sum of its proper divisors (106757995).

164042613 is a wasteful number, since it uses less digits than its factorization.

164042613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603864 (or 2603861 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 164042613 is about 12807.9121249328. The cubic root of 164042613 is about 547.4177721008.

It can be divided in two parts, 1640 and 42613, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 164042613 in words is "one hundred sixty-four million, forty-two thousand, six hundred thirteen".