113624257 has 2 divisors, whose sum is σ = 113624258. Its totient is φ = 113624256.

The previous prime is 113624221. The next prime is 113624267. The reversal of 113624257 is 752426311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96904336 + 16719921 = 9844^2 + 4089^2 .

It is a cyclic number.

It is not a de Polignac number, because 113624257 - 2¹⁹ = 113099969 is a prime.

It is not a weakly prime, because it can be changed into another prime (113624267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56812128 + 56812129.

It is an arithmetic number, because the mean of its divisors is an integer number (56812129).

Almost surely, 2^113624257 is an apocalyptic number.

It is an amenable number.

113624257 is a deficient number, since it is larger than the sum of its proper divisors (1).

113624257 is an equidigital number, since it uses as much as digits as its factorization.

113624257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10080, while the sum is 31.

The square root of 113624257 is about 10659.4679510752. The cubic root of 113624257 is about 484.3474513198.

The spelling of 113624257 in words is "one hundred thirteen million, six hundred twenty-four thousand, two hundred fifty-seven".