82521029 has 2 divisors, whose sum is σ = 82521030. Its totient is φ = 82521028.

The previous prime is 82521013. The next prime is 82521041. The reversal of 82521029 is 92012528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60684100 + 21836929 = 7790^2 + 4673^2 .

It is a cyclic number.

It is not a de Polignac number, because 82521029 - 2⁴ = 82521013 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 82520992 and 82521010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82521059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41260514 + 41260515.

It is an arithmetic number, because the mean of its divisors is an integer number (41260515).

Almost surely, 2^82521029 is an apocalyptic number.

It is an amenable number.

82521029 is a deficient number, since it is larger than the sum of its proper divisors (1).

82521029 is an equidigital number, since it uses as much as digits as its factorization.

82521029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 82521029 is about 9084.1085968850. The cubic root of 82521029 is about 435.3663694634.

The spelling of 82521029 in words is "eighty-two million, five hundred twenty-one thousand, twenty-nine".