113761 has 2 divisors, whose sum is σ = 113762. Its totient is φ = 113760.

The previous prime is 113759. The next prime is 113777. The reversal of 113761 is 167311.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93025 + 20736 = 305^2 + 144^2 .

It is an emirp because it is prime and its reverse (167311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113761 - 2¹ = 113759 is a prime.

Together with 113759, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56880 + 56881.

It is an arithmetic number, because the mean of its divisors is an integer number (56881).

2¹¹³⁷⁶¹ is an apocalyptic number.

It is an amenable number.

113761 is a deficient number, since it is larger than the sum of its proper divisors (1).

113761 is an equidigital number, since it uses as much as digits as its factorization.

113761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 19.

The square root of 113761 is about 337.2847461715. The cubic root of 113761 is about 48.4541672091.

The spelling of 113761 in words is "one hundred thirteen thousand, seven hundred sixty-one".