113972261 has 8 divisors (see below), whose sum is σ = 123420024. Its totient is φ = 104621760.

The previous prime is 113972249. The next prime is 113972269. The reversal of 113972261 is 162279311.

113972261 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 4 ways, for example, as 4120900 + 109851361 = 2030^2 + 10481^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 113972261 - 2²² = 109777957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113972269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21866 + ... + 26571.

It is an arithmetic number, because the mean of its divisors is an integer number (15427503).

Almost surely, 2^113972261 is an apocalyptic number.

It is an amenable number.

113972261 is a deficient number, since it is larger than the sum of its proper divisors (9447763).

113972261 is a wasteful number, since it uses less digits than its factorization.

113972261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48631.

The product of its digits is 4536, while the sum is 32.

The square root of 113972261 is about 10675.7791753108. The cubic root of 113972261 is about 484.8414275944.

The spelling of 113972261 in words is "one hundred thirteen million, nine hundred seventy-two thousand, two hundred sixty-one".