82249301 has 2 divisors, whose sum is σ = 82249302. Its totient is φ = 82249300.

The previous prime is 82249259. The next prime is 82249303. The reversal of 82249301 is 10394228.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82174225 + 75076 = 9065^2 + 274^2 .

It is a cyclic number.

It is not a de Polignac number, because 82249301 - 2¹⁰ = 82248277 is a prime.

Together with 82249303, 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 (82249303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41124650 + 41124651.

It is an arithmetic number, because the mean of its divisors is an integer number (41124651).

Almost surely, 2^82249301 is an apocalyptic number.

It is an amenable number.

82249301 is a deficient number, since it is larger than the sum of its proper divisors (1).

82249301 is an equidigital number, since it uses as much as digits as its factorization.

82249301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 82249301 is about 9069.1400364092. The cubic root of 82249301 is about 434.8879810207.

The spelling of 82249301 in words is "eighty-two million, two hundred forty-nine thousand, three hundred one".