82825213 has 2 divisors, whose sum is σ = 82825214. Its totient is φ = 82825212.

The previous prime is 82825201. The next prime is 82825217. The reversal of 82825213 is 31252828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50083929 + 32741284 = 7077^2 + 5722^2 .

It is a cyclic number.

It is not a de Polignac number, because 82825213 - 2¹⁷ = 82694141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82825217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41412606 + 41412607.

It is an arithmetic number, because the mean of its divisors is an integer number (41412607).

Almost surely, 2^82825213 is an apocalyptic number.

It is an amenable number.

82825213 is a deficient number, since it is larger than the sum of its proper divisors (1).

82825213 is an equidigital number, since it uses as much as digits as its factorization.

82825213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7680, while the sum is 31.

The square root of 82825213 is about 9100.8358407346. The cubic root of 82825213 is about 435.9006538652.

It can be divided in two parts, 82825 and 213, that added together give a palindrome (83038).

The spelling of 82825213 in words is "eighty-two million, eight hundred twenty-five thousand, two hundred thirteen".