82252170 has 288 divisors, whose sum is σ = 292795776. Its totient is φ = 15586560.

The previous prime is 82252169. The next prime is 82252187. The reversal of 82252170 is 7125228.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 990949 + ... + 991031.

It is an arithmetic number, because the mean of its divisors is an integer number (1016652).

Almost surely, 2^82252170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82252170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146397888).

82252170 is an abundant number, since it is smaller than the sum of its proper divisors (210543606).

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

82252170 is a wasteful number, since it uses less digits than its factorization.

82252170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 82252170 is about 9069.2982087921. The cubic root of 82252170 is about 434.8930375140.

Adding to 82252170 its reverse (7125228), we get a palindrome (89377398).

It can be divided in two parts, 82 and 252170, that added together give a palindrome (252252).

The spelling of 82252170 in words is "eighty-two million, two hundred fifty-two thousand, one hundred seventy".