113717527 has 24 divisors (see below), whose sum is σ = 149668992. Its totient is φ = 83926800.

The previous prime is 113717521. The next prime is 113717533. The reversal of 113717527 is 725717311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113717521) and next prime (113717533).

It is not a de Polignac number, because 113717527 - 2⁷ = 113717399 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113717492 and 113717501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113717521) 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, 25752 + ... + 29842.

It is an arithmetic number, because the mean of its divisors is an integer number (6236208).

Almost surely, 2^113717527 is an apocalyptic number.

113717527 is a deficient number, since it is larger than the sum of its proper divisors (35951465).

113717527 is a wasteful number, since it uses less digits than its factorization.

113717527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4147 (or 4128 counting only the distinct ones).

The product of its digits is 10290, while the sum is 34.

The square root of 113717527 is about 10663.8420374647. The cubic root of 113717527 is about 484.4799427811.

It can be divided in two parts, 113717 and 527, that added together give a square (114244 = 338²).

The spelling of 113717527 in words is "one hundred thirteen million, seven hundred seventeen thousand, five hundred twenty-seven".