113507 has 4 divisors (see below), whose sum is σ = 114240. Its totient is φ = 112776.

The previous prime is 113501. The next prime is 113513. The reversal of 113507 is 705311.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 705311 = 823 ⋅857.

It is an interprime number because it is at equal distance from previous prime (113501) and next prime (113513).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113507 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113501) 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 3 ways as a sum of consecutive naturals, for example, 32 + ... + 477.

It is an arithmetic number, because the mean of its divisors is an integer number (28560).

2¹¹³⁵⁰⁷ is an apocalyptic number.

113507 is a deficient number, since it is larger than the sum of its proper divisors (733).

113507 is an equidigital number, since it uses as much as digits as its factorization.

113507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 113507 is about 336.9079993114. The cubic root of 113507 is about 48.4180783045.

Adding to 113507 its reverse (705311), we get a palindrome (818818).

It can be divided in two parts, 113 and 507, that multiplied together give a triangular number (57291 = T₃₃₈).

The spelling of 113507 in words is "one hundred thirteen thousand, five hundred seven".