820042607 has 2 divisors, whose sum is σ = 820042608. Its totient is φ = 820042606.

The previous prime is 820042579. The next prime is 820042609. The reversal of 820042607 is 706240028.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 820042607 - 2¹⁴ = 820026223 is a prime.

Together with 820042609, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820042607.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820042609) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410021303 + 410021304.

It is an arithmetic number, because the mean of its divisors is an integer number (410021304).

Almost surely, 2^820042607 is an apocalyptic number.

820042607 is a deficient number, since it is larger than the sum of its proper divisors (1).

820042607 is an equidigital number, since it uses as much as digits as its factorization.

820042607 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 820042607 is about 28636.3860673794. The cubic root of 820042607 is about 936.0063733069.

The spelling of 820042607 in words is "eight hundred twenty million, forty-two thousand, six hundred seven".