164361313 has 2 divisors, whose sum is σ = 164361314. Its totient is φ = 164361312.

The previous prime is 164361311. The next prime is 164361341. The reversal of 164361313 is 313163461.

It is an a-pointer prime, because the next prime (164361341) can be obtained adding 164361313 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136819809 + 27541504 = 11697^2 + 5248^2 .

It is a cyclic number.

It is not a de Polignac number, because 164361313 - 2¹ = 164361311 is a prime.

It is a super-2 number, since 2×164361313² = 54029282422167938, which contains 22 as substring.

Together with 164361311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (164361311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82180656 + 82180657.

It is an arithmetic number, because the mean of its divisors is an integer number (82180657).

Almost surely, 2^164361313 is an apocalyptic number.

It is an amenable number.

164361313 is a deficient number, since it is larger than the sum of its proper divisors (1).

164361313 is an equidigital number, since it uses as much as digits as its factorization.

164361313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 28.

The square root of 164361313 is about 12820.3476161920. The cubic root of 164361313 is about 547.7720483092.

The spelling of 164361313 in words is "one hundred sixty-four million, three hundred sixty-one thousand, three hundred thirteen".