82792712 has 12 divisors (see below), whose sum is σ = 155284605. Its totient is φ = 41383488.

The previous prime is 82792687. The next prime is 82792733. The reversal of 82792712 is 21729728.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 66031876 + 16760836 = 8126^2 + 4094^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6434.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 24128 + ... + 27344.

Almost surely, 2^82792712 is an apocalyptic number.

It is an amenable number.

82792712 is a deficient number, since it is larger than the sum of its proper divisors (72491893).

82792712 is an frugal number, since it uses more digits than its factorization.

82792712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6440 (or 3219 counting only the distinct ones).

The product of its digits is 28224, while the sum is 38.

The square root of 82792712 is about 9099.0500603085. The cubic root of 82792712 is about 435.8436299223.

It can be divided in two parts, 827 and 92712, that added together give a palindrome (93539).

The spelling of 82792712 in words is "eighty-two million, seven hundred ninety-two thousand, seven hundred twelve".