82249 has 4 divisors (see below), whose sum is σ = 82836. Its totient is φ = 81664.

The previous prime is 82241. The next prime is 82261. The reversal of 82249 is 94228.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 24649 + 57600 = 157^2 + 240^2 .

It is a cyclic number.

It is not a de Polignac number, because 82249 - 2³ = 82241 is a prime.

It is a d-powerful number, because it can be written as 8² + 2¹⁴ + 2¹⁶ + 4⁴ + 9 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82241) 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, 57 + ... + 409.

It is an arithmetic number, because the mean of its divisors is an integer number (20709).

2⁸²²⁴⁹ is an apocalyptic number.

It is an amenable number.

82249 is a deficient number, since it is larger than the sum of its proper divisors (587).

82249 is a wasteful number, since it uses less digits than its factorization.

82249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586.

The product of its digits is 1152, while the sum is 25.

The square root of 82249 is about 286.7908645686. The cubic root of 82249 is about 43.4887450514.

The spelling of 82249 in words is "eighty-two thousand, two hundred forty-nine".