115645 has 8 divisors (see below), whose sum is σ = 140760. Its totient is φ = 91200.

The previous prime is 115637. The next prime is 115657. The reversal of 115645 is 546511.

115645 = 103² + 104² + ... + 112².

It can be written as a sum of positive squares in 4 ways, for example, as 68121 + 47524 = 261^2 + 218^2 .

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

It is not a de Polignac number, because 115645 - 2³ = 115637 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391 + ... + 619.

It is an arithmetic number, because the mean of its divisors is an integer number (17595).

2¹¹⁵⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

115645 is a deficient number, since it is larger than the sum of its proper divisors (25115).

115645 is a wasteful number, since it uses less digits than its factorization.

115645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335.

The product of its digits is 600, while the sum is 22.

The square root of 115645 is about 340.0661700317. The cubic root of 115645 is about 48.7201877774.

The spelling of 115645 in words is "one hundred fifteen thousand, six hundred forty-five".