113677 has 8 divisors (see below), whose sum is σ = 124160. Its totient is φ = 103680.

The previous prime is 113657. The next prime is 113683. The reversal of 113677 is 776311.

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 113677 - 2¹⁵ = 80909 is a prime.

It is a Duffinian number.

It is a plaindrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113677.

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 7 ways as a sum of consecutive naturals, for example, 493 + ... + 685.

It is an arithmetic number, because the mean of its divisors is an integer number (15520).

2¹¹³⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

113677 is a deficient number, since it is larger than the sum of its proper divisors (10483).

113677 is a wasteful number, since it uses less digits than its factorization.

113677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243.

The product of its digits is 882, while the sum is 25.

The square root of 113677 is about 337.1601993118. The cubic root of 113677 is about 48.4422382462.

Adding to 113677 its reverse (776311), we get a palindrome (889988).

The spelling of 113677 in words is "one hundred thirteen thousand, six hundred seventy-seven".