113961 has 4 divisors (see below), whose sum is σ = 151952. Its totient is φ = 75972.

The previous prime is 113957. The next prime is 113963. The reversal of 113961 is 169311.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 169311 = 3 ⋅56437.

It is not a de Polignac number, because 113961 - 2² = 113957 is a prime.

It is a D-number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113961.

It is not an unprimeable number, because it can be changed into a prime (113963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18991 + ... + 18996.

It is an arithmetic number, because the mean of its divisors is an integer number (37988).

2¹¹³⁹⁶¹ is an apocalyptic number.

It is an amenable number.

113961 is a deficient number, since it is larger than the sum of its proper divisors (37991).

113961 is an equidigital number, since it uses as much as digits as its factorization.

113961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37990.

The product of its digits is 162, while the sum is 21.

The square root of 113961 is about 337.5811013668. The cubic root of 113961 is about 48.4825458858.

The spelling of 113961 in words is "one hundred thirteen thousand, nine hundred sixty-one".