82251540 has 144 divisors (see below), whose sum is σ = 295102080. Its totient is φ = 18144000.

The previous prime is 82251527. The next prime is 82251541. The reversal of 82251540 is 4515228.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82251541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35415 + ... + 37665.

It is an arithmetic number, because the mean of its divisors is an integer number (2049320).

Almost surely, 2^82251540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82251540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147551040).

82251540 is an abundant number, since it is smaller than the sum of its proper divisors (212850540).

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

82251540 is a wasteful number, since it uses less digits than its factorization.

82251540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 82251540 is about 9069.2634761595. The cubic root of 82251540 is about 434.8919271752.

Adding to 82251540 its reverse (4515228), we get a palindrome (86766768).

The spelling of 82251540 in words is "eighty-two million, two hundred fifty-one thousand, five hundred forty".