114457541 has 8 divisors (see below), whose sum is σ = 125139168. Its totient is φ = 103822000.

The previous prime is 114457531. The next prime is 114457561. The reversal of 114457541 is 145754411.

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

It is a cyclic number.

It is not a de Polignac number, because 114457541 - 2⁶ = 114457477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114457498 and 114457507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114457531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6215 + ... + 16356.

It is an arithmetic number, because the mean of its divisors is an integer number (15642396).

Almost surely, 2^114457541 is an apocalyptic number.

114457541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114457541 is a deficient number, since it is larger than the sum of its proper divisors (10681627).

114457541 is a wasteful number, since it uses less digits than its factorization.

114457541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23043.

The product of its digits is 11200, while the sum is 32.

The square root of 114457541 is about 10698.4831167788. The cubic root of 114457541 is about 485.5285851448.

It can be divided in two parts, 1144 and 57541, that added together give a palindrome (58685).

The spelling of 114457541 in words is "one hundred fourteen million, four hundred fifty-seven thousand, five hundred forty-one".