82407 has 8 divisors (see below), whose sum is σ = 118384. Its totient is φ = 50688.

The previous prime is 82393. The next prime is 82421. The reversal of 82407 is 70428.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82393) and next prime (82421).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82407 - 2⁷ = 82279 is a prime.

It is a d-powerful number, because it can be written as 8⁵ + 2¹⁵ + 4³ + 0 + 7⁵ .

It is a Duffinian number.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 1018 + ... + 1095.

It is an arithmetic number, because the mean of its divisors is an integer number (14798).

2⁸²⁴⁰⁷ is an apocalyptic number.

82407 is a deficient number, since it is larger than the sum of its proper divisors (35977).

82407 is a wasteful number, since it uses less digits than its factorization.

82407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 82407 is about 287.0661944570. The cubic root of 82407 is about 43.5165744740.

Adding to 82407 its sum of digits (21), we get a palindrome (82428).

It can be divided in two parts, 8 and 2407, that added together give a triangular number (2415 = T₆₉).

The spelling of 82407 in words is "eighty-two thousand, four hundred seven".