113264127 has 24 divisors (see below), whose sum is σ = 168412608. Its totient is φ = 73320000.

The previous prime is 113264119. The next prime is 113264143. The reversal of 113264127 is 721462311.

113264127 is a `hidden beast` number, since 1 + 13 + 2 + 641 + 2 + 7 = 666.

It is not a de Polignac number, because 113264127 - 2³ = 113264119 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 113264127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113264197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47002 + ... + 49352.

It is an arithmetic number, because the mean of its divisors is an integer number (7017192).

Almost surely, 2^113264127 is an apocalyptic number.

113264127 is a deficient number, since it is larger than the sum of its proper divisors (55148481).

113264127 is a wasteful number, since it uses less digits than its factorization.

113264127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2508 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 113264127 is about 10642.5620505591. The cubic root of 113264127 is about 483.8351996240.

The spelling of 113264127 in words is "one hundred thirteen million, two hundred sixty-four thousand, one hundred twenty-seven".