705165121 has 2 divisors, whose sum is σ = 705165122. Its totient is φ = 705165120.

The previous prime is 705165101. The next prime is 705165157. The reversal of 705165121 is 121561507.

705165121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 524639025 + 180526096 = 22905^2 + 13436^2 .

It is a cyclic number.

It is not a de Polignac number, because 705165121 - 2¹¹ = 705163073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 705165121.

It is not a weakly prime, because it can be changed into another prime (705165101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352582560 + 352582561.

It is an arithmetic number, because the mean of its divisors is an integer number (352582561).

Almost surely, 2^705165121 is an apocalyptic number.

It is an amenable number.

705165121 is a deficient number, since it is larger than the sum of its proper divisors (1).

705165121 is an equidigital number, since it uses as much as digits as its factorization.

705165121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 705165121 is about 26554.9453209755. The cubic root of 705165121 is about 890.0825244355.

The spelling of 705165121 in words is "seven hundred five million, one hundred sixty-five thousand, one hundred twenty-one".