82049 has 4 divisors (see below), whose sum is σ = 89520. Its totient is φ = 74580.

The previous prime is 82039. The next prime is 82051. The reversal of 82049 is 94028.

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.

It is a de Polignac number, because none of the positive numbers 2^k-82049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82009) 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, 3719 + ... + 3740.

It is an arithmetic number, because the mean of its divisors is an integer number (22380).

2⁸²⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

82049 is a deficient number, since it is larger than the sum of its proper divisors (7471).

82049 is a wasteful number, since it uses less digits than its factorization.

82049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7470.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 82049 is about 286.4419661991. The cubic root of 82049 is about 43.4534667765.

The spelling of 82049 in words is "eighty-two thousand, forty-nine".