164752417 has 2 divisors, whose sum is σ = 164752418. Its totient is φ = 164752416.

The previous prime is 164752411. The next prime is 164752481. The reversal of 164752417 is 714257461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 159365376 + 5387041 = 12624^2 + 2321^2 .

It is an emirp because it is prime and its reverse (714257461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164752417 - 2²⁷ = 30534689 is a prime.

It is not a weakly prime, because it can be changed into another prime (164752411) 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 as a sum of consecutive naturals, namely, 82376208 + 82376209.

It is an arithmetic number, because the mean of its divisors is an integer number (82376209).

Almost surely, 2^164752417 is an apocalyptic number.

It is an amenable number.

164752417 is a deficient number, since it is larger than the sum of its proper divisors (1).

164752417 is an equidigital number, since it uses as much as digits as its factorization.

164752417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 47040, while the sum is 37.

The square root of 164752417 is about 12835.5918056006. The cubic root of 164752417 is about 548.2061856215.

The spelling of 164752417 in words is "one hundred sixty-four million, seven hundred fifty-two thousand, four hundred seventeen".