113506 has 16 divisors (see below), whose sum is σ = 187200. Its totient is φ = 51408.

The previous prime is 113501. The next prime is 113513. The reversal of 113506 is 605311.

113506 = 48² + 49² + ... + 76².

It is a super-2 number, since 2×113506² = 25767224072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113506.

It is not an unprimeable number, because it can be changed into a prime (113501) by changing a digit.

113506 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1051 + ... + 1153.

It is an arithmetic number, because the mean of its divisors is an integer number (11700).

2¹¹³⁵⁰⁶ is an apocalyptic number.

113506 is a deficient number, since it is larger than the sum of its proper divisors (73694).

113506 is a wasteful number, since it uses less digits than its factorization.

113506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 113506 is about 336.9065152234. The cubic root of 113506 is about 48.4179361159.

Adding to 113506 its reverse (605311), we get a palindrome (718817).

The spelling of 113506 in words is "one hundred thirteen thousand, five hundred six".