82107270 has 112 divisors (see below), whose sum is σ = 253401120. Its totient is φ = 18755712.

The previous prime is 82107257. The next prime is 82107317. The reversal of 82107270 is 7270128.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 50226 + ... + 51834.

It is an arithmetic number, because the mean of its divisors is an integer number (2262510).

Almost surely, 2^82107270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82107270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126700560).

82107270 is an abundant number, since it is smaller than the sum of its proper divisors (171293850).

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

82107270 is a wasteful number, since it uses less digits than its factorization.

82107270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 82107270 is about 9061.3061972323. The cubic root of 82107270 is about 434.6375101459.

Adding to 82107270 its reverse (7270128), we get a palindrome (89377398).

The spelling of 82107270 in words is "eighty-two million, one hundred seven thousand, two hundred seventy".