113607 has 12 divisors (see below), whose sum is σ = 176904. Its totient is φ = 69840.

The previous prime is 113591. The next prime is 113621. The reversal of 113607 is 706311.

It is not a de Polignac number, because 113607 - 2⁴ = 113591 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 113607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113647) 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, 369 + ... + 602.

It is an arithmetic number, because the mean of its divisors is an integer number (14742).

2¹¹³⁶⁰⁷ is an apocalyptic number.

113607 is a deficient number, since it is larger than the sum of its proper divisors (63297).

113607 is a wasteful number, since it uses less digits than its factorization.

113607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 113607 is about 337.0563751066. The cubic root of 113607 is about 48.4322929540.

Adding to 113607 its reverse (706311), we get a palindrome (819918).

Subtracting 113607 from its reverse (706311), we obtain a cube (592704 = 84³).

The spelling of 113607 in words is "one hundred thirteen thousand, six hundred seven".