85253 has 8 divisors (see below), whose sum is σ = 102720. Its totient is φ = 69120.

The previous prime is 85247. The next prime is 85259. The reversal of 85253 is 35258.

85253 = 7² + 8² + ... + 63².

It is an interprime number because it is at equal distance from previous prime (85247) and next prime (85259).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85253 - 2⁴ = 85237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85253.

It is not an unprimeable number, because it can be changed into a prime (85259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188 + ... + 453.

It is an arithmetic number, because the mean of its divisors is an integer number (12840).

2⁸⁵²⁵³ is an apocalyptic number.

It is an amenable number.

85253 is a deficient number, since it is larger than the sum of its proper divisors (17467).

85253 is a wasteful number, since it uses less digits than its factorization.

85253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667.

The product of its digits is 1200, while the sum is 23.

The square root of 85253 is about 291.9811637760. The cubic root of 85253 is about 44.0118769590.

It can be divided in two parts, 8 and 5253, that multiplied together give a palindrome (42024).

The spelling of 85253 in words is "eighty-five thousand, two hundred fifty-three".