85268 has 6 divisors (see below), whose sum is σ = 149226. Its totient is φ = 42632.

The previous prime is 85259. The next prime is 85297. The reversal of 85268 is 86258.

It is a happy number.

85268 is a canyon number because its digits go down and then up.

It can be written as a sum of positive squares in only one way, i.e., 85264 + 4 = 292^2 + 2^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85268.

It is a congruent number.

It is an unprimeable number.

85268 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 10655 + ... + 10662.

It is an arithmetic number, because the mean of its divisors is an integer number (24871).

2⁸⁵²⁶⁸ is an apocalyptic number.

It is an amenable number.

85268 is a deficient number, since it is larger than the sum of its proper divisors (63958).

85268 is a wasteful number, since it uses less digits than its factorization.

85268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21321 (or 21319 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 85268 is about 292.0068492347. The cubic root of 85268 is about 44.0144580586.

Subtracting 85268 from its reverse (86258), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 85 and 268, that added together give a palindrome (353).

The spelling of 85268 in words is "eighty-five thousand, two hundred sixty-eight".