85800253 has 16 divisors (see below), whose sum is σ = 107867520. Its totient is φ = 66850080.

The previous prime is 85800251. The next prime is 85800263. The reversal of 85800253 is 35200858.

It is not a de Polignac number, because 85800253 - 2¹ = 85800251 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85800251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4713 + ... + 13921.

It is an arithmetic number, because the mean of its divisors is an integer number (6741720).

Almost surely, 2^85800253 is an apocalyptic number.

It is an amenable number.

85800253 is a deficient number, since it is larger than the sum of its proper divisors (22067267).

85800253 is an equidigital number, since it uses as much as digits as its factorization.

85800253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9249 (or 9227 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 85800253 is about 9262.8425982524. The cubic root of 85800253 is about 441.0584932431.

The spelling of 85800253 in words is "eighty-five million, eight hundred thousand, two hundred fifty-three".