115953 has 4 divisors (see below), whose sum is σ = 154608. Its totient is φ = 77300.

The previous prime is 115933. The next prime is 115963. The reversal of 115953 is 359511.

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.

It is a cyclic number.

It is not a de Polignac number, because 115953 - 2¹² = 111857 is a prime.

It is a D-number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 115953.

It is not an unprimeable number, because it can be changed into a prime (115903) 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, 19323 + ... + 19328.

It is an arithmetic number, because the mean of its divisors is an integer number (38652).

2¹¹⁵⁹⁵³ is an apocalyptic number.

It is an amenable number.

115953 is a deficient number, since it is larger than the sum of its proper divisors (38655).

115953 is an equidigital number, since it uses as much as digits as its factorization.

115953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38654.

The product of its digits is 675, while the sum is 24.

The square root of 115953 is about 340.5187219523. The cubic root of 115953 is about 48.7634019695.

Multiplying 115953 by its sum of digits (24), we get a palindrome (2782872).

The spelling of 115953 in words is "one hundred fifteen thousand, nine hundred fifty-three".