82981144 has 32 divisors (see below), whose sum is σ = 158934240. Its totient is φ = 40608000.

The previous prime is 82981139. The next prime is 82981153. The reversal of 82981144 is 44118928.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87714 + ... + 88654.

It is an arithmetic number, because the mean of its divisors is an integer number (4966695).

Almost surely, 2^82981144 is an apocalyptic number.

It is an amenable number.

82981144 is a deficient number, since it is larger than the sum of its proper divisors (75953096).

82981144 is a wasteful number, since it uses less digits than its factorization.

82981144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1167 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The square root of 82981144 is about 9109.3986629195. The cubic root of 82981144 is about 436.1740320314.

The spelling of 82981144 in words is "eighty-two million, nine hundred eighty-one thousand, one hundred forty-four".