113516 has 24 divisors (see below), whose sum is σ = 223440. Its totient is φ = 50112.

The previous prime is 113513. The next prime is 113537. The reversal of 113516 is 615311.

It is a junction number, because it is equal to n+sod(n) for n = 113494 and 113503.

It is not an unprimeable number, because it can be changed into a prime (113513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1895 + ... + 1953.

It is an arithmetic number, because the mean of its divisors is an integer number (9310).

2¹¹³⁵¹⁶ is an apocalyptic number.

It is an amenable number.

113516 is a deficient number, since it is larger than the sum of its proper divisors (109924).

113516 is a wasteful number, since it uses less digits than its factorization.

113516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 111 counting only the distinct ones).

The product of its digits is 90, while the sum is 17.

The square root of 113516 is about 336.9213558087. The cubic root of 113516 is about 48.4193579648.

Adding to 113516 its reverse (615311), we get a palindrome (728827).

The spelling of 113516 in words is "one hundred thirteen thousand, five hundred sixteen".