85797 has 6 divisors (see below), whose sum is σ = 123942. Its totient is φ = 57192.

The previous prime is 85793. The next prime is 85817. The reversal of 85797 is 79758.

It can be written as a sum of positive squares in only one way, i.e., 60516 + 25281 = 246^2 + 159^2 .

It is not a de Polignac number, because 85797 - 2² = 85793 is a prime.

It is a super-2 number, since 2×85797² = 14722250418, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85793) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4758 + ... + 4775.

It is an arithmetic number, because the mean of its divisors is an integer number (20657).

2⁸⁵⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

85797 is a deficient number, since it is larger than the sum of its proper divisors (38145).

85797 is a wasteful number, since it uses less digits than its factorization.

85797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9539 (or 9536 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 85797 is about 292.9112493572. The cubic root of 85797 is about 44.1052919128.

The spelling of 85797 in words is "eighty-five thousand, seven hundred ninety-seven".