82470 has 16 divisors (see below), whose sum is σ = 198000. Its totient is φ = 21984.

The previous prime is 82469. The next prime is 82471. The reversal of 82470 is 7428.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82469) and next prime (82471).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82471) 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, 1345 + ... + 1404.

It is an arithmetic number, because the mean of its divisors is an integer number (12375).

2⁸²⁴⁷⁰ is an apocalyptic number.

82470 is an abundant number, since it is smaller than the sum of its proper divisors (115530).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99000).

82470 is a wasteful number, since it uses less digits than its factorization.

82470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759.

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

The square root of 82470 is about 287.1759042817. The cubic root of 82470 is about 43.5276610963.

Adding to 82470 its reverse (7428), we get a palindrome (89898).

The spelling of 82470 in words is "eighty-two thousand, four hundred seventy".