82101829 has 2 divisors, whose sum is σ = 82101830. Its totient is φ = 82101828.

The previous prime is 82101797. The next prime is 82101839. The reversal of 82101829 is 92810128.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65577604 + 16524225 = 8098^2 + 4065^2 .

It is a cyclic number.

It is not a de Polignac number, because 82101829 - 2⁵ = 82101797 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82101829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82101839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41050914 + 41050915.

It is an arithmetic number, because the mean of its divisors is an integer number (41050915).

Almost surely, 2^82101829 is an apocalyptic number.

It is an amenable number.

82101829 is a deficient number, since it is larger than the sum of its proper divisors (1).

82101829 is an equidigital number, since it uses as much as digits as its factorization.

82101829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 82101829 is about 9061.0059596051. The cubic root of 82101829 is about 434.6279092302.

The spelling of 82101829 in words is "eighty-two million, one hundred one thousand, eight hundred twenty-nine".