115577 has 16 divisors (see below), whose sum is σ = 153600. Its totient is φ = 84240.

The previous prime is 115571. The next prime is 115589. The reversal of 115577 is 775511.

It is a cyclic number.

It is not a de Polignac number, because 115577 - 2⁴ = 115561 is a prime.

It is a Duffinian number.

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (115571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1424 + ... + 1502.

It is an arithmetic number, because the mean of its divisors is an integer number (9600).

2¹¹⁵⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

115577 is a deficient number, since it is larger than the sum of its proper divisors (38023).

115577 is a wasteful number, since it uses less digits than its factorization.

115577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116.

The product of its digits is 1225, while the sum is 26.

The square root of 115577 is about 339.9661747880. The cubic root of 115577 is about 48.7106366444.

The spelling of 115577 in words is "one hundred fifteen thousand, five hundred seventy-seven".