164323013 has 2 divisors, whose sum is σ = 164323014. Its totient is φ = 164323012.

The previous prime is 164322997. The next prime is 164323043. The reversal of 164323013 is 310323461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 164275489 + 47524 = 12817^2 + 218^2 .

It is a cyclic number.

It is not a de Polignac number, because 164323013 - 2⁴ = 164322997 is a prime.

It is equal to p_9203207 and since 164323013 and 9203207 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164323013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164323043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82161506 + 82161507.

It is an arithmetic number, because the mean of its divisors is an integer number (82161507).

Almost surely, 2^164323013 is an apocalyptic number.

It is an amenable number.

164323013 is a deficient number, since it is larger than the sum of its proper divisors (1).

164323013 is an equidigital number, since it uses as much as digits as its factorization.

164323013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 164323013 is about 12818.8538099161. The cubic root of 164323013 is about 547.7294971377.

Adding to 164323013 its reverse (310323461), we get a palindrome (474646474).

The spelling of 164323013 in words is "one hundred sixty-four million, three hundred twenty-three thousand, thirteen".