82413 has 6 divisors (see below), whose sum is σ = 119054. Its totient is φ = 54936.

The previous prime is 82393. The next prime is 82421. The reversal of 82413 is 31428.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 56169 + 26244 = 237^2 + 162^2 .

It is not a de Polignac number, because 82413 - 2⁶ = 82349 is a prime.

It is a Duffinian number.

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 82413.

It is not an unprimeable number, because it can be changed into a prime (82463) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4570 + ... + 4587.

2⁸²⁴¹³ is an apocalyptic number.

It is an amenable number.

82413 is a deficient number, since it is larger than the sum of its proper divisors (36641).

82413 is a wasteful number, since it uses less digits than its factorization.

82413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9163 (or 9160 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 82413 is about 287.0766448181. The cubic root of 82413 is about 43.5176305862.

The spelling of 82413 in words is "eighty-two thousand, four hundred thirteen".