82054944 has 60 divisors (see below), whose sum is σ = 241328934. Its totient is φ = 27350784.

The previous prime is 82054909. The next prime is 82054963. The reversal of 82054944 is 44945028.

It can be written as a sum of positive squares in only one way, i.e., 70358544 + 11696400 = 8388^2 + 3420^2 .

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 = 82054899 and 82054908.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13237 + ... + 18420.

Almost surely, 2^82054944 is an apocalyptic number.

It is an amenable number.

82054944 is an abundant number, since it is smaller than the sum of its proper divisors (159273990).

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

82054944 is a wasteful number, since it uses less digits than its factorization.

82054944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31679 (or 31662 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 82054944 is about 9058.4184049976. The cubic root of 82054944 is about 434.5451607298.

The spelling of 82054944 in words is "eighty-two million, fifty-four thousand, nine hundred forty-four".