85345 has 12 divisors (see below), whose sum is σ = 111996. Its totient is φ = 62400.

The previous prime is 85333. The next prime is 85361. The reversal of 85345 is 54358.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2401 + 82944 = 49^2 + 288^2 .

It is not a de Polignac number, because 85345 - 2⁵ = 85313 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 795 + ... + 895.

It is an arithmetic number, because the mean of its divisors is an integer number (9333).

2⁸⁵³⁴⁵ is an apocalyptic number.

85345 is the 169-th octagonal number.

It is an amenable number.

85345 is a deficient number, since it is larger than the sum of its proper divisors (26651).

85345 is a wasteful number, since it uses less digits than its factorization.

85345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The square root of 85345 is about 292.1386657052. The cubic root of 85345 is about 44.0277029399.

It can be divided in two parts, 853 and 45, that added together give a palindrome (898).

The spelling of 85345 in words is "eighty-five thousand, three hundred forty-five".