82628519 has 2 divisors, whose sum is σ = 82628520. Its totient is φ = 82628518.

The previous prime is 82628501. The next prime is 82628521. The reversal of 82628519 is 91582628.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 82628519 - 2¹⁶ = 82562983 is a prime.

It is a super-3 number, since 3×82628519³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 82628521, 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 (82628599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41314259 + 41314260.

It is an arithmetic number, because the mean of its divisors is an integer number (41314260).

Almost surely, 2^82628519 is an apocalyptic number.

82628519 is a deficient number, since it is larger than the sum of its proper divisors (1).

82628519 is an equidigital number, since it uses as much as digits as its factorization.

82628519 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 69120, while the sum is 41.

The square root of 82628519 is about 9090.0230472755. The cubic root of 82628519 is about 435.5553201958. Note that the first 3 decimals are identical.

The spelling of 82628519 in words is "eighty-two million, six hundred twenty-eight thousand, five hundred nineteen".