85897 has 6 divisors (see below), whose sum is σ = 99978. Its totient is φ = 73584.

The previous prime is 85889. The next prime is 85903. The reversal of 85897 is 79858.

85897 = T₃₃ + T₃₄ + ... + T₈₁.

It can be written as a sum of positive squares in only one way, i.e., 50176 + 35721 = 224^2 + 189^2 .

It is not a de Polignac number, because 85897 - 2³ = 85889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85817) 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, 828 + ... + 925.

It is an arithmetic number, because the mean of its divisors is an integer number (16663).

2⁸⁵⁸⁹⁷ is an apocalyptic number.

It is an amenable number.

85897 is a deficient number, since it is larger than the sum of its proper divisors (14081).

85897 is a wasteful number, since it uses less digits than its factorization.

85897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1760 counting only the distinct ones).

The product of its digits is 20160, while the sum is 37.

The square root of 85897 is about 293.0818998164. The cubic root of 85897 is about 44.1224207819.

It can be divided in two parts, 85 and 897, that multiplied together give a triangular number (76245 = T₃₉₀).

The spelling of 85897 in words is "eighty-five thousand, eight hundred ninety-seven".