85850 has 24 divisors (see below), whose sum is σ = 170748. Its totient is φ = 32000.

The previous prime is 85847. The next prime is 85853. The reversal of 85850 is 5858.

It is a Cunningham number, because it is equal to 293²+1.

It is an interprime number because it is at equal distance from previous prime (85847) and next prime (85853).

It can be written as a sum of positive squares in 6 ways, for example, as 67081 + 18769 = 259^2 + 137^2 .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85853) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 800 + ... + 900.

2⁸⁵⁸⁵⁰ is an apocalyptic number.

85850 is a deficient number, since it is larger than the sum of its proper divisors (84898).

85850 is a wasteful number, since it uses less digits than its factorization.

85850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 85850 is about 293.0017064797. The cubic root of 85850 is about 44.1143718702.

The spelling of 85850 in words is "eighty-five thousand, eight hundred fifty".