115820541 has 24 divisors (see below), whose sum is σ = 177750144. Its totient is φ = 72420480.

The previous prime is 115820533. The next prime is 115820567. The reversal of 115820541 is 145028511.

115820541 is a `hidden beast` number, since 115 + 8 + 2 + 0 + 541 = 666.

It is not a de Polignac number, because 115820541 - 2³ = 115820533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115820501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49500 + ... + 51786.

It is an arithmetic number, because the mean of its divisors is an integer number (7406256).

Almost surely, 2^115820541 is an apocalyptic number.

It is an amenable number.

115820541 is a deficient number, since it is larger than the sum of its proper divisors (61929603).

115820541 is a wasteful number, since it uses less digits than its factorization.

115820541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 115820541 is about 10761.9952146431. The cubic root of 115820541 is about 487.4482659105.

The spelling of 115820541 in words is "one hundred fifteen million, eight hundred twenty thousand, five hundred forty-one".