820042007 has 2 divisors, whose sum is σ = 820042008. Its totient is φ = 820042006.

The previous prime is 820041967. The next prime is 820042021. The reversal of 820042007 is 700240028.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-820042007 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820042087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410021003 + 410021004.

It is an arithmetic number, because the mean of its divisors is an integer number (410021004).

Almost surely, 2^820042007 is an apocalyptic number.

820042007 is a deficient number, since it is larger than the sum of its proper divisors (1).

820042007 is an equidigital number, since it uses as much as digits as its factorization.

820042007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 820042007 is about 28636.3755911952. The cubic root of 820042007 is about 936.0061450244.

The spelling of 820042007 in words is "eight hundred twenty million, forty-two thousand, seven".