123165261 has 6 divisors (see below), whose sum is σ = 177905390. Its totient is φ = 82110168.

The previous prime is 123165227. The next prime is 123165281. The reversal of 123165261 is 162561321.

123165261 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 652 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105575625 + 17589636 = 10275^2 + 4194^2 .

It is not a de Polignac number, because 123165261 - 2⁶ = 123165197 is a prime.

It is a super-3 number, since 3×123165261³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123165281) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6842506 + ... + 6842523.

Almost surely, 2^123165261 is an apocalyptic number.

It is an amenable number.

123165261 is a deficient number, since it is larger than the sum of its proper divisors (54740129).

123165261 is a wasteful number, since it uses less digits than its factorization.

123165261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13685035 (or 13685032 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 123165261 is about 11097.9845467544. The cubic root of 123165261 is about 497.5416138183.

The spelling of 123165261 in words is "one hundred twenty-three million, one hundred sixty-five thousand, two hundred sixty-one".