85397 has 4 divisors (see below), whose sum is σ = 91980. Its totient is φ = 78816.

The previous prime is 85381. The next prime is 85411. The reversal of 85397 is 79358.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 79358 = 2 ⋅39679.

It can be written as a sum of positive squares in 2 ways, for example, as 45796 + 39601 = 214^2 + 199^2 .

It is a cyclic number.

It is not a de Polignac number, because 85397 - 2⁴ = 85381 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85297) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3272 + ... + 3297.

It is an arithmetic number, because the mean of its divisors is an integer number (22995).

2⁸⁵³⁹⁷ is an apocalyptic number.

It is an amenable number.

85397 is a deficient number, since it is larger than the sum of its proper divisors (6583).

85397 is a wasteful number, since it uses less digits than its factorization.

85397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6582.

The product of its digits is 7560, while the sum is 32.

The square root of 85397 is about 292.2276509846. The cubic root of 85397 is about 44.0366430291.

The spelling of 85397 in words is "eighty-five thousand, three hundred ninety-seven".