82561548 has 54 divisors (see below), whose sum is σ = 200514132. Its totient is φ = 26439840.

The previous prime is 82561547. The next prime is 82561553. The reversal of 82561548 is 84516528.

It is not an unprimeable number, because it can be changed into a prime (82561547) 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 17 ways as a sum of consecutive naturals, for example, 1353438 + ... + 1353498.

Almost surely, 2^82561548 is an apocalyptic number.

It is an amenable number.

82561548 is an abundant number, since it is smaller than the sum of its proper divisors (117952584).

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

82561548 is a wasteful number, since it uses less digits than its factorization.

82561548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 109 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 82561548 is about 9086.3385365063. The cubic root of 82561548 is about 435.4376148322.

Multiplying 82561548 by its product of digits (76800), we get a square (6340726886400 = 2518080²).

The spelling of 82561548 in words is "eighty-two million, five hundred sixty-one thousand, five hundred forty-eight".