85249 has 4 divisors (see below), whose sum is σ = 85936. Its totient is φ = 84564.

The previous prime is 85247. The next prime is 85259. The reversal of 85249 is 94258.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 94258 = 2 ⋅47129.

It is a cyclic number.

It is not a de Polignac number, because 85249 - 2¹ = 85247 is a prime.

It is a Duffinian number.

85249 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (85243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 99 + ... + 424.

It is an arithmetic number, because the mean of its divisors is an integer number (21484).

2⁸⁵²⁴⁹ is an apocalyptic number.

It is an amenable number.

85249 is a deficient number, since it is larger than the sum of its proper divisors (687).

85249 is a wasteful number, since it uses less digits than its factorization.

85249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686.

The product of its digits is 2880, while the sum is 28.

The square root of 85249 is about 291.9743139387. The cubic root of 85249 is about 44.0111886147.

Subtracting from 85249 its product of digits (2880), we obtain a square (82369 = 287²).

Subtracting 85249 from its reverse (94258), we obtain a palindrome (9009).

The spelling of 85249 in words is "eighty-five thousand, two hundred forty-nine".