172116261 has 12 divisors (see below), whose sum is σ = 252018988. Its totient is φ = 113171904.

The previous prime is 172116239. The next prime is 172116317. The reversal of 172116261 is 162611271.

It is a happy number.

172116261 is a `hidden beast` number, since 17 + 21 + 1 + 626 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96530625 + 75585636 = 9825^2 + 8694^2 .

It is not a de Polignac number, because 172116261 - 2¹⁷ = 171985189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172156261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130330 + ... + 131643.

Almost surely, 2^172116261 is an apocalyptic number.

It is an amenable number.

172116261 is a deficient number, since it is larger than the sum of its proper divisors (79902727).

172116261 is a wasteful number, since it uses less digits than its factorization.

172116261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262052 (or 262049 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 172116261 is about 13119.3087089221. The cubic root of 172116261 is about 556.2550511514.

The spelling of 172116261 in words is "one hundred seventy-two million, one hundred sixteen thousand, two hundred sixty-one".