113953 has 8 divisors (see below), whose sum is σ = 132608. Its totient is φ = 95904.

The previous prime is 113947. The next prime is 113957. The reversal of 113953 is 359311.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 113953 - 2⁵ = 113921 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400 + ... + 622.

It is an arithmetic number, because the mean of its divisors is an integer number (16576).

2¹¹³⁹⁵³ is an apocalyptic number.

It is an amenable number.

113953 is a deficient number, since it is larger than the sum of its proper divisors (18655).

113953 is an equidigital number, since it uses as much as digits as its factorization.

113953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303.

The product of its digits is 405, while the sum is 22.

The square root of 113953 is about 337.5692521543. The cubic root of 113953 is about 48.4814113765.

The spelling of 113953 in words is "one hundred thirteen thousand, nine hundred fifty-three".