115456541 has 2 divisors, whose sum is σ = 115456542. Its totient is φ = 115456540.

The previous prime is 115456519. The next prime is 115456543. The reversal of 115456541 is 145654511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104632441 + 10824100 = 10229^2 + 3290^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-115456541 is a prime.

Together with 115456543, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 115456498 and 115456507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (115456543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57728270 + 57728271.

It is an arithmetic number, because the mean of its divisors is an integer number (57728271).

Almost surely, 2^115456541 is an apocalyptic number.

It is an amenable number.

115456541 is a deficient number, since it is larger than the sum of its proper divisors (1).

115456541 is an equidigital number, since it uses as much as digits as its factorization.

115456541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12000, while the sum is 32.

The square root of 115456541 is about 10745.0705442077. The cubic root of 115456541 is about 486.9370803328.

The spelling of 115456541 in words is "one hundred fifteen million, four hundred fifty-six thousand, five hundred forty-one".