113354257 has 2 divisors, whose sum is σ = 113354258. Its totient is φ = 113354256.

The previous prime is 113354237. The next prime is 113354261. The reversal of 113354257 is 752453311.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74028816 + 39325441 = 8604^2 + 6271^2 .

It is an emirp because it is prime and its reverse (752453311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113354257 - 2¹⁵ = 113321489 is a prime.

It is a super-3 number, since 3×113354257³ (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (113354237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56677128 + 56677129.

It is an arithmetic number, because the mean of its divisors is an integer number (56677129).

Almost surely, 2^113354257 is an apocalyptic number.

It is an amenable number.

113354257 is a deficient number, since it is larger than the sum of its proper divisors (1).

113354257 is an equidigital number, since it uses as much as digits as its factorization.

113354257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12600, while the sum is 31.

The square root of 113354257 is about 10646.7956212186. The cubic root of 113354257 is about 483.9635029852.

The spelling of 113354257 in words is "one hundred thirteen million, three hundred fifty-four thousand, two hundred fifty-seven".