82713270 has 96 divisors (see below), whose sum is σ = 217347840. Its totient is φ = 20088000.

The previous prime is 82713229. The next prime is 82713283. The reversal of 82713270 is 7231728.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 547695 + ... + 547845.

It is an arithmetic number, because the mean of its divisors is an integer number (2264040).

Almost surely, 2^82713270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82713270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108673920).

82713270 is an abundant number, since it is smaller than the sum of its proper divisors (134634570).

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

82713270 is a wasteful number, since it uses less digits than its factorization.

82713270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 82713270 is about 9094.6836118691. The cubic root of 82713270 is about 435.7041837921.

Adding to 82713270 its reverse (7231728), we get a palindrome (89944998).

The spelling of 82713270 in words is "eighty-two million, seven hundred thirteen thousand, two hundred seventy".