82728461 has 2 divisors, whose sum is σ = 82728462. Its totient is φ = 82728460.

The previous prime is 82728449. The next prime is 82728463. The reversal of 82728461 is 16482728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43428100 + 39300361 = 6590^2 + 6269^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82728461 is a prime.

Together with 82728463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82728463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41364230 + 41364231.

It is an arithmetic number, because the mean of its divisors is an integer number (41364231).

Almost surely, 2^82728461 is an apocalyptic number.

It is an amenable number.

82728461 is a deficient number, since it is larger than the sum of its proper divisors (1).

82728461 is an equidigital number, since it uses as much as digits as its factorization.

82728461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 43008, while the sum is 38.

The square root of 82728461 is about 9095.5187317712. The cubic root of 82728461 is about 435.7308557602.

The spelling of 82728461 in words is "eighty-two million, seven hundred twenty-eight thousand, four hundred sixty-one".