82288021 has 2 divisors, whose sum is σ = 82288022. Its totient is φ = 82288020.

The previous prime is 82288001. The next prime is 82288027. The reversal of 82288021 is 12088228.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58140625 + 24147396 = 7625^2 + 4914^2 .

It is a cyclic number.

It is not a de Polignac number, because 82288021 - 2¹³ = 82279829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82288027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41144010 + 41144011.

It is an arithmetic number, because the mean of its divisors is an integer number (41144011).

Almost surely, 2^82288021 is an apocalyptic number.

It is an amenable number.

82288021 is a deficient number, since it is larger than the sum of its proper divisors (1).

82288021 is an equidigital number, since it uses as much as digits as its factorization.

82288021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 82288021 is about 9071.2744970043. The cubic root of 82288021 is about 434.9562134990.

The spelling of 82288021 in words is "eighty-two million, two hundred eighty-eight thousand, twenty-one".