85251 has 8 divisors (see below), whose sum is σ = 115024. Its totient is φ = 56160.

The previous prime is 85247. The next prime is 85259. The reversal of 85251 is 15258.

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

It is not a de Polignac number, because 85251 - 2² = 85247 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 (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, 381 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (14378).

2⁸⁵²⁵¹ is an apocalyptic number.

85251 is a deficient number, since it is larger than the sum of its proper divisors (29773).

85251 is a wasteful number, since it uses less digits than its factorization.

85251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341.

The product of its digits is 400, while the sum is 21.

The square root of 85251 is about 291.9777388775. The cubic root of 85251 is about 44.0115327896.

It can be divided in two parts, 852 and 51, that added together give a triangular number (903 = T₄₂).

The spelling of 85251 in words is "eighty-five thousand, two hundred fifty-one".