115505 has 8 divisors (see below), whose sum is σ = 149352. Its totient is φ = 85248.

The previous prime is 115499. The next prime is 115513. The reversal of 115505 is 505511.

It can be written as a sum of positive squares in 4 ways, for example, as 1936 + 113569 = 44^2 + 337^2 .

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 115505 - 2⁸ = 115249 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 824 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (18669).

2¹¹⁵⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

115505 is a deficient number, since it is larger than the sum of its proper divisors (33847).

115505 is a wasteful number, since it uses less digits than its factorization.

115505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795.

The product of its (nonzero) digits is 125, while the sum is 17.

The square root of 115505 is about 339.8602654033. The cubic root of 115505 is about 48.7005195958.

The spelling of 115505 in words is "one hundred fifteen thousand, five hundred five".