164007953 has 2 divisors, whose sum is σ = 164007954. Its totient is φ = 164007952.

The previous prime is 164007947. The next prime is 164007967. The reversal of 164007953 is 359700461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 158936449 + 5071504 = 12607^2 + 2252^2 .

It is a cyclic number.

It is not a de Polignac number, because 164007953 - 2⁶ = 164007889 is a prime.

It is not a weakly prime, because it can be changed into another prime (164007973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82003976 + 82003977.

It is an arithmetic number, because the mean of its divisors is an integer number (82003977).

Almost surely, 2^164007953 is an apocalyptic number.

It is an amenable number.

164007953 is a deficient number, since it is larger than the sum of its proper divisors (1).

164007953 is an equidigital number, since it uses as much as digits as its factorization.

164007953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 164007953 is about 12806.5589835834. The cubic root of 164007953 is about 547.3792153786.

The spelling of 164007953 in words is "one hundred sixty-four million, seven thousand, nine hundred fifty-three".