115736085 has 24 divisors (see below), whose sum is σ = 212411160. Its totient is φ = 58094592.

The previous prime is 115736081. The next prime is 115736099. The reversal of 115736085 is 580637511.

115736085 is a `hidden beast` number, since 1 + 1 + 573 + 6 + 0 + 85 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42068196 + 73667889 = 6486^2 + 8583^2 .

It is not a de Polignac number, because 115736085 - 2² = 115736081 is a prime.

It is a super-2 number, since 2×115736085² = 26789682742254450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115736081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74880 + ... + 76409.

It is an arithmetic number, because the mean of its divisors is an integer number (8850465).

Almost surely, 2^115736085 is an apocalyptic number.

115736085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

115736085 is a deficient number, since it is larger than the sum of its proper divisors (96675075).

115736085 is a wasteful number, since it uses less digits than its factorization.

115736085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151317 (or 151314 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 115736085 is about 10758.0706913461. The cubic root of 115736085 is about 487.3297551496.

The spelling of 115736085 in words is "one hundred fifteen million, seven hundred thirty-six thousand, eighty-five".