82812015 has 96 divisors (see below), whose sum is σ = 178790976. Its totient is φ = 34836480.

The previous prime is 82812011. The next prime is 82812017. The reversal of 82812015 is 51021828.

82812015 is a nontrivial binomial coefficient, being equal to C(12870, 2).

It is not a de Polignac number, because 82812015 - 2² = 82812011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82812015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82812011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109017 + ... + 109773.

It is an arithmetic number, because the mean of its divisors is an integer number (1862406).

Almost surely, 2^82812015 is an apocalyptic number.

82812015 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82812015 is the 12869-th triangular number and also the 6435-th hexagonal number.

82812015 is an abundant number, since it is smaller than the sum of its proper divisors (95978961).

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

82812015 is a wasteful number, since it uses less digits than its factorization.

82812015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 82812015 is about 9100.1107136122. The cubic root of 82812015 is about 435.8774993924.

It can be divided in two parts, 8281 and 2015, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 82812015 in words is "eighty-two million, eight hundred twelve thousand, fifteen".