85597 has 2 divisors, whose sum is σ = 85598. Its totient is φ = 85596.

The previous prime is 85577. The next prime is 85601. The reversal of 85597 is 79558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47961 + 37636 = 219^2 + 194^2 .

It is a cyclic number.

It is not a de Polignac number, because 85597 - 2⁷ = 85469 is a prime.

85597 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42798 + 42799.

It is an arithmetic number, because the mean of its divisors is an integer number (42799).

2⁸⁵⁵⁹⁷ is an apocalyptic number.

It is an amenable number.

85597 is a deficient number, since it is larger than the sum of its proper divisors (1).

85597 is an equidigital number, since it uses as much as digits as its factorization.

85597 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12600, while the sum is 34.

The square root of 85597 is about 292.5696498272. The cubic root of 85597 is about 44.0709942043.

The spelling of 85597 in words is "eighty-five thousand, five hundred ninety-seven".