113759 has 2 divisors, whose sum is σ = 113760. Its totient is φ = 113758.

The previous prime is 113749. The next prime is 113761. The reversal of 113759 is 957311.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 113759 - 2¹² = 109663 is a prime.

It is a super-2 number, since 2×113759² = 25882220162, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 113761, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56879 + 56880.

It is an arithmetic number, because the mean of its divisors is an integer number (56880).

2¹¹³⁷⁵⁹ is an apocalyptic number.

113759 is a deficient number, since it is larger than the sum of its proper divisors (1).

113759 is an equidigital number, since it uses as much as digits as its factorization.

113759 is an evil number, because the sum of its binary digits is even.

The product of its digits is 945, while the sum is 26.

The square root of 113759 is about 337.2817813046. The cubic root of 113759 is about 48.4538832544.

The spelling of 113759 in words is "one hundred thirteen thousand, seven hundred fifty-nine".