164267101 has 2 divisors, whose sum is σ = 164267102. Its totient is φ = 164267100.

The previous prime is 164267069. The next prime is 164267111. The reversal of 164267101 is 101762461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163175076 + 1092025 = 12774^2 + 1045^2 .

It is a cyclic number.

It is not a de Polignac number, because 164267101 - 2⁵ = 164267069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164267101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164267111) 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, 82133550 + 82133551.

It is an arithmetic number, because the mean of its divisors is an integer number (82133551).

Almost surely, 2^164267101 is an apocalyptic number.

It is an amenable number.

164267101 is a deficient number, since it is larger than the sum of its proper divisors (1).

164267101 is an equidigital number, since it uses as much as digits as its factorization.

164267101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 164267101 is about 12816.6727741641. The cubic root of 164267101 is about 547.6673672203.

The spelling of 164267101 in words is "one hundred sixty-four million, two hundred sixty-seven thousand, one hundred one".