164736013 has 8 divisors (see below), whose sum is σ = 177856056. Its totient is φ = 151680000.

The previous prime is 164736007. The next prime is 164736041. The reversal of 164736013 is 310637461.

It can be written as a sum of positive squares in 4 ways, for example, as 83411689 + 81324324 = 9133^2 + 9018^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164736013 - 2¹³ = 164727821 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 (164736043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10588 + ... + 21013.

It is an arithmetic number, because the mean of its divisors is an integer number (22232007).

Almost surely, 2^164736013 is an apocalyptic number.

164736013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164736013 is a deficient number, since it is larger than the sum of its proper divisors (13120043).

164736013 is a wasteful number, since it uses less digits than its factorization.

164736013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32015.

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 164736013 is about 12834.9527852657. The cubic root of 164736013 is about 548.1879904960.

The spelling of 164736013 in words is "one hundred sixty-four million, seven hundred thirty-six thousand, thirteen".