42200813 has 2 divisors, whose sum is σ = 42200814. Its totient is φ = 42200812.

The previous prime is 42200779. The next prime is 42200819. The reversal of 42200813 is 31800224.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37478884 + 4721929 = 6122^2 + 2173^2 .

It is a cyclic number.

It is not a de Polignac number, because 42200813 - 2¹⁶ = 42135277 is a prime.

42200813 is a modest number, since divided by 813 gives 422 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42200819) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21100406 + 21100407.

It is an arithmetic number, because the mean of its divisors is an integer number (21100407).

Almost surely, 2^42200813 is an apocalyptic number.

It is an amenable number.

42200813 is a deficient number, since it is larger than the sum of its proper divisors (1).

42200813 is an equidigital number, since it uses as much as digits as its factorization.

42200813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 42200813 is about 6496.2152827627. The cubic root of 42200813 is about 348.1557770236.

The spelling of 42200813 in words is "forty-two million, two hundred thousand, eight hundred thirteen".