82417 has 4 divisors (see below), whose sum is σ = 83620. Its totient is φ = 81216.

The previous prime is 82393. The next prime is 82421. The reversal of 82417 is 71428.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 24336 + 58081 = 156^2 + 241^2 .

It is a cyclic number.

It is not a de Polignac number, because 82417 - 2¹¹ = 80369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82457) 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, 492 + ... + 637.

It is an arithmetic number, because the mean of its divisors is an integer number (20905).

2⁸²⁴¹⁷ is an apocalyptic number.

It is an amenable number.

82417 is a deficient number, since it is larger than the sum of its proper divisors (1203).

82417 is a wasteful number, since it uses less digits than its factorization.

82417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202.

The product of its digits is 448, while the sum is 22.

The square root of 82417 is about 287.0836115141. The cubic root of 82417 is about 43.5183346325.

It can be divided in two parts, 824 and 17, that added together give a square (841 = 29²).

The spelling of 82417 in words is "eighty-two thousand, four hundred seventeen".