82497012 has 72 divisors (see below), whose sum is σ = 219512160. Its totient is φ = 24036480.

The previous prime is 82496989. The next prime is 82497017. The reversal of 82497012 is 21079428.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82497017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37462 + ... + 39602.

It is an arithmetic number, because the mean of its divisors is an integer number (3048780).

Almost surely, 2^82497012 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 82497012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109756080).

82497012 is an abundant number, since it is smaller than the sum of its proper divisors (137015148).

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

82497012 is a wasteful number, since it uses less digits than its factorization.

82497012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 82497012 is about 9082.7865768166. The cubic root of 82497012 is about 435.3241288823.

The spelling of 82497012 in words is "eighty-two million, four hundred ninety-seven thousand, twelve".