113357 has 2 divisors, whose sum is σ = 113358. Its totient is φ = 113356.

The previous prime is 113341. The next prime is 113359. The reversal of 113357 is 753311.

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., 64516 + 48841 = 254^2 + 221^2 .

It is a cyclic number.

It is not a de Polignac number, because 113357 - 2⁴ = 113341 is a prime.

Together with 113359, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₁₀₇₃₉ and since 113357 and 10739 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113359) 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, 56678 + 56679.

It is an arithmetic number, because the mean of its divisors is an integer number (56679).

2¹¹³³⁵⁷ is an apocalyptic number.

It is an amenable number.

113357 is a deficient number, since it is larger than the sum of its proper divisors (1).

113357 is an equidigital number, since it uses as much as digits as its factorization.

113357 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 315, while the sum is 20.

The square root of 113357 is about 336.6853130150. The cubic root of 113357 is about 48.3967406680.

Adding to 113357 its reverse (753311), we get a palindrome (866668).

The spelling of 113357 in words is "one hundred thirteen thousand, three hundred fifty-seven".