82265544 has 80 divisors (see below), whose sum is σ = 233481600. Its totient is φ = 27057888.

The previous prime is 82265539. The next prime is 82265563. The reversal of 82265544 is 44556228.

It is a happy number.

82265544 is a `hidden beast` number, since 82 + 26 + 554 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82265499 and 82265508.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 50389 + ... + 51995.

It is an arithmetic number, because the mean of its divisors is an integer number (2918520).

Almost surely, 2^82265544 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 82265544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116740800).

82265544 is an abundant number, since it is smaller than the sum of its proper divisors (151216056).

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

82265544 is a wasteful number, since it uses less digits than its factorization.

82265544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1691 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 82265544 is about 9070.0355015843. The cubic root of 82265544 is about 434.9166070817.

It can be divided in two parts, 822 and 65544, that added together give a palindrome (66366).

The spelling of 82265544 in words is "eighty-two million, two hundred sixty-five thousand, five hundred forty-four".