115641 has 8 divisors (see below), whose sum is σ = 171360. Its totient is φ = 77076.

The previous prime is 115637. The next prime is 115657. The reversal of 115641 is 146511.

It is not a de Polignac number, because 115641 - 2² = 115637 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 115641.

It is not an unprimeable number, because it can be changed into a prime (115601) 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, 2115 + ... + 2168.

It is an arithmetic number, because the mean of its divisors is an integer number (21420).

2¹¹⁵⁶⁴¹ is an apocalyptic number.

It is an amenable number.

115641 is a deficient number, since it is larger than the sum of its proper divisors (55719).

115641 is an equidigital number, since it uses as much as digits as its factorization.

115641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 4286 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 115641 is about 340.0602887724. The cubic root of 115641 is about 48.7196260497.

The spelling of 115641 in words is "one hundred fifteen thousand, six hundred forty-one".