82418 has 18 divisors (see below), whose sum is σ = 148941. Its totient is φ = 34104.

The previous prime is 82393. The next prime is 82421. The reversal of 82418 is 81428.

It can be written as a sum of positive squares in 2 ways, for example, as 82369 + 49 = 287^2 + 7^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=203.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82393 and 82402.

It is an unprimeable number.

82418 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2828 + ... + 2856.

2⁸²⁴¹⁸ is an apocalyptic number.

82418 is a deficient number, since it is larger than the sum of its proper divisors (66523).

82418 is a wasteful number, since it uses less digits than its factorization.

82418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 38 counting only the distinct ones).

The product of its digits is 512, while the sum is 23.

The square root of 82418 is about 287.0853531617. The cubic root of 82418 is about 43.5185106405.

Multiplying 82418 by its product of digits (512), we get a square (42198016 = 6496²).

Subtracting from 82418 its reverse (81428), we obtain a triangular number (990 = T₄₄).

The spelling of 82418 in words is "eighty-two thousand, four hundred eighteen".