82319301 has 8 divisors (see below), whose sum is σ = 121954560. Its totient is φ = 54879516.

The previous prime is 82319261. The next prime is 82319333. The reversal of 82319301 is 10391328.

It is not a de Polignac number, because 82319301 - 2⁷ = 82319173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3048863 = 82319301 / (8 + 2 + 3 + 1 + 9 + 3 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82314301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1524405 + ... + 1524458.

It is an arithmetic number, because the mean of its divisors is an integer number (15244320).

Almost surely, 2^82319301 is an apocalyptic number.

It is an amenable number.

82319301 is a deficient number, since it is larger than the sum of its proper divisors (39635259).

82319301 is a wasteful number, since it uses less digits than its factorization.

82319301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048872 (or 3048866 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 82319301 is about 9072.9984569601. The cubic root of 82319301 is about 435.0113195628.

The spelling of 82319301 in words is "eighty-two million, three hundred nineteen thousand, three hundred one".