114506541 has 10 divisors (see below), whose sum is σ = 171053102. Its totient is φ = 76337640.

The previous prime is 114506533. The next prime is 114506603. The reversal of 114506541 is 145605411.

114506541 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 0 + 654 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63441225 + 51065316 = 7965^2 + 7146^2 .

It is not a de Polignac number, because 114506541 - 2³ = 114506533 is a prime.

It is a super-3 number, since 3×114506541³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114506531) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 706750 + ... + 706911.

Almost surely, 2^114506541 is an apocalyptic number.

It is an amenable number.

114506541 is a deficient number, since it is larger than the sum of its proper divisors (56546561).

114506541 is an equidigital number, since it uses as much as digits as its factorization.

114506541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413673 (or 1413664 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 114506541 is about 10700.7729160094. The cubic root of 114506541 is about 485.5978612165.

The spelling of 114506541 in words is "one hundred fourteen million, five hundred six thousand, five hundred forty-one".