85215 has 32 divisors (see below), whose sum is σ = 161280. Its totient is φ = 38016.

The previous prime is 85213. The next prime is 85223. The reversal of 85215 is 51258.

It is not a de Polignac number, because 85215 - 2¹ = 85213 is a prime.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 85191 and 85200.

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 85215.

It is not an unprimeable number, because it can be changed into a prime (85213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3694 + ... + 3716.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁸⁵²¹⁵ is an apocalyptic number.

85215 is a deficient number, since it is larger than the sum of its proper divisors (76065).

85215 is a wasteful number, since it uses less digits than its factorization.

85215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63.

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

The square root of 85215 is about 291.9160838323. The cubic root of 85215 is about 44.0053368182.

It can be divided in two parts, 85 and 215, that added together give a triangular number (300 = T₂₄).

The spelling of 85215 in words is "eighty-five thousand, two hundred fifteen".