113749 has 2 divisors, whose sum is σ = 113750. Its totient is φ = 113748.

The previous prime is 113731. The next prime is 113759. The reversal of 113749 is 947311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79524 + 34225 = 282^2 + 185^2 .

It is a cyclic number.

It is not a de Polignac number, because 113749 - 2⁵ = 113717 is a prime.

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, 56874 + 56875.

It is an arithmetic number, because the mean of its divisors is an integer number (56875).

2¹¹³⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

113749 is a deficient number, since it is larger than the sum of its proper divisors (1).

113749 is an equidigital number, since it uses as much as digits as its factorization.

113749 is an evil number, because the sum of its binary digits is even.

The product of its digits is 756, while the sum is 25.

The square root of 113749 is about 337.2669565789. The cubic root of 113749 is about 48.4524634311.

The spelling of 113749 in words is "one hundred thirteen thousand, seven hundred forty-nine".