82163250 has 144 divisors (see below), whose sum is σ = 243858888. Its totient is φ = 19843200.

The previous prime is 82163209. The next prime is 82163251. The reversal of 82163250 is 5236128.

82163250 is a `hidden beast` number, since 8 + 21 + 632 + 5 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2614689 + 79548561 = 1617^2 + 8919^2 .

It is not an unprimeable number, because it can be changed into a prime (82163251) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1550224 + ... + 1550276.

Almost surely, 2^82163250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82163250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121929444).

82163250 is an abundant number, since it is smaller than the sum of its proper divisors (161695638).

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

82163250 is a wasteful number, since it uses less digits than its factorization.

82163250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 82163250 is about 9064.3946295381. The cubic root of 82163250 is about 434.7362650242.

Adding to 82163250 its reverse (5236128), we get a palindrome (87399378).

The spelling of 82163250 in words is "eighty-two million, one hundred sixty-three thousand, two hundred fifty".