85237 has 2 divisors, whose sum is σ = 85238. Its totient is φ = 85236.

The previous prime is 85229. The next prime is 85243. The reversal of 85237 is 73258.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77841 + 7396 = 279^2 + 86^2 .

It is a cyclic number.

It is not a de Polignac number, because 85237 - 2³ = 85229 is a prime.

It is a d-powerful number, because it can be written as 8³ + 5⁷ + 2⁵ + 3⁸ + 7 .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42618 + 42619.

It is an arithmetic number, because the mean of its divisors is an integer number (42619).

2⁸⁵²³⁷ is an apocalyptic number.

It is an amenable number.

85237 is a deficient number, since it is larger than the sum of its proper divisors (1).

85237 is an equidigital number, since it uses as much as digits as its factorization.

85237 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1680, while the sum is 25.

The square root of 85237 is about 291.9537634626. The cubic root of 85237 is about 44.0091234525.

The spelling of 85237 in words is "eighty-five thousand, two hundred thirty-seven".