82728301 has 2 divisors, whose sum is σ = 82728302. Its totient is φ = 82728300.

The previous prime is 82728187. The next prime is 82728313. The reversal of 82728301 is 10382728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78322500 + 4405801 = 8850^2 + 2099^2 .

It is a cyclic number.

It is not a de Polignac number, because 82728301 - 2⁹ = 82727789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82728361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41364150 + 41364151.

It is an arithmetic number, because the mean of its divisors is an integer number (41364151).

Almost surely, 2^82728301 is an apocalyptic number.

It is an amenable number.

82728301 is a deficient number, since it is larger than the sum of its proper divisors (1).

82728301 is an equidigital number, since it uses as much as digits as its factorization.

82728301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 82728301 is about 9095.5099362268. The cubic root of 82728301 is about 435.7305748533.

The spelling of 82728301 in words is "eighty-two million, seven hundred twenty-eight thousand, three hundred one".