82973646 has 80 divisors (see below), whose sum is σ = 223724160. Its totient is φ = 22453200.

The previous prime is 82973641. The next prime is 82973663. The reversal of 82973646 is 64637928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82973641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19621 + ... + 23471.

It is an arithmetic number, because the mean of its divisors is an integer number (2796552).

Almost surely, 2^82973646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82973646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111862080).

82973646 is an abundant number, since it is smaller than the sum of its proper divisors (140750514).

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

82973646 is a wasteful number, since it uses less digits than its factorization.

82973646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3891 (or 3882 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 82973646 is about 9108.9871006605. The cubic root of 82973646 is about 436.1608943826.

The spelling of 82973646 in words is "eighty-two million, nine hundred seventy-three thousand, six hundred forty-six".