85601 has 2 divisors, whose sum is σ = 85602. Its totient is φ = 85600.

The previous prime is 85597. The next prime is 85607. The reversal of 85601 is 10658.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70225 + 15376 = 265^2 + 124^2 .

It is a cyclic number.

It is not a de Polignac number, because 85601 - 2² = 85597 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85601.

It is not a weakly prime, because it can be changed into another prime (85607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42800 + 42801.

It is an arithmetic number, because the mean of its divisors is an integer number (42801).

2⁸⁵⁶⁰¹ is an apocalyptic number.

It is an amenable number.

85601 is a deficient number, since it is larger than the sum of its proper divisors (1).

85601 is an equidigital number, since it uses as much as digits as its factorization.

85601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 85601 is about 292.5764857264. The cubic root of 85601 is about 44.0716806818.

It can be divided in two parts, 85 and 601, that added together give a palindrome (686).

The spelling of 85601 in words is "eighty-five thousand, six hundred one".