85945 has 4 divisors (see below), whose sum is σ = 103140. Its totient is φ = 68752.

The previous prime is 85933. The next prime is 85991. The reversal of 85945 is 54958.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 54958 = 2 ⋅27479.

It can be written as a sum of positive squares in 2 ways, for example, as 59049 + 26896 = 243^2 + 164^2 .

It is a cyclic number.

It is not a de Polignac number, because 85945 - 2⁷ = 85817 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 14.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8590 + ... + 8599.

It is an arithmetic number, because the mean of its divisors is an integer number (25785).

2⁸⁵⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

85945 is a deficient number, since it is larger than the sum of its proper divisors (17195).

85945 is a wasteful number, since it uses less digits than its factorization.

85945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17194.

The product of its digits is 7200, while the sum is 31.

The square root of 85945 is about 293.1637767529. The cubic root of 85945 is about 44.1306379173.

The spelling of 85945 in words is "eighty-five thousand, nine hundred forty-five".