82944500 has 48 divisors (see below), whose sum is σ = 190706880. Its totient is φ = 31428000.

The previous prime is 82944469. The next prime is 82944527. The reversal of 82944500 is 544928.

82944500 is nontrivially palindromic in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5135 + ... + 13865.

It is an arithmetic number, because the mean of its divisors is an integer number (3973060).

Almost surely, 2^82944500 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 82944500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95353440).

82944500 is an abundant number, since it is smaller than the sum of its proper divisors (107762380).

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

82944500 is a wasteful number, since it uses less digits than its factorization.

82944500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8769 (or 8757 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 82944500 is about 9107.3871115705. The cubic root of 82944500 is about 436.1098185900.

The spelling of 82944500 in words is "eighty-two million, nine hundred forty-four thousand, five hundred".