116756541 has 24 divisors (see below), whose sum is σ = 184332096. Its totient is φ = 70626240.

The previous prime is 116756537. The next prime is 116756557. The reversal of 116756541 is 145657611.

It is a happy number.

116756541 is a `hidden beast` number, since 1 + 1 + 67 + 56 + 541 = 666.

It is not a de Polignac number, because 116756541 - 2² = 116756537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 116756496 and 116756505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116756531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80761 + ... + 82193.

It is an arithmetic number, because the mean of its divisors is an integer number (7680504).

Almost surely, 2^116756541 is an apocalyptic number.

116756541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

116756541 is a deficient number, since it is larger than the sum of its proper divisors (67575555).

116756541 is a wasteful number, since it uses less digits than its factorization.

116756541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2270 counting only the distinct ones).

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

The square root of 116756541 is about 10805.3940696302. The cubic root of 116756541 is about 488.7578436437.

It can be divided in two parts, 116 and 756541, that added together give a palindrome (756657).

The spelling of 116756541 in words is "one hundred sixteen million, seven hundred fifty-six thousand, five hundred forty-one".