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113657 is a prime number
BaseRepresentation
bin11011101111111001
312202220112
4123233321
512114112
62234105
7652235
oct335771
9182815
10113657
1178435
1255935
133c96b
142d5c5
1523a22
hex1bbf9

113657 has 2 divisors, whose sum is σ = 113658. Its totient is φ = 113656.

The previous prime is 113647. The next prime is 113683. The reversal of 113657 is 756311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109561 + 4096 = 331^2 + 64^2 .

It is a cyclic number.

It is not a de Polignac number, because 113657 - 216 = 48121 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113657.

It is not a weakly prime, because it can be changed into another prime (113647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56828 + 56829.

It is an arithmetic number, because the mean of its divisors is an integer number (56829).

2113657 is an apocalyptic number.

It is an amenable number.

113657 is a deficient number, since it is larger than the sum of its proper divisors (1).

113657 is an equidigital number, since it uses as much as digits as its factorization.

113657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 630, while the sum is 23.

The square root of 113657 is about 337.1305385159. The cubic root of 113657 is about 48.4393971508.

Adding to 113657 its reverse (756311), we get a palindrome (869968).

The spelling of 113657 in words is "one hundred thirteen thousand, six hundred fifty-seven".