115601 has 2 divisors, whose sum is σ = 115602. Its totient is φ = 115600.

The previous prime is 115597. The next prime is 115603. The reversal of 115601 is 106511.

It is a Cunningham number, because it is equal to 340²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115600 + 1 = 340^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 115601 - 2² = 115597 is a prime.

Together with 115603, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₁₀₉₂₂ and since 115601 and 10922 have the same sum of digits, it is a Honaker prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 115601.

It is not a weakly prime, because it can be changed into another prime (115603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57800 + 57801.

It is an arithmetic number, because the mean of its divisors is an integer number (57801).

2¹¹⁵⁶⁰¹ is an apocalyptic number.

It is an amenable number.

115601 is a deficient number, since it is larger than the sum of its proper divisors (1).

115601 is an equidigital number, since it uses as much as digits as its factorization.

115601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 115601 is about 340.0014705851. The cubic root of 115601 is about 48.7140080602.

The spelling of 115601 in words is "one hundred fifteen thousand, six hundred one".