420082813 has 2 divisors, whose sum is σ = 420082814. Its totient is φ = 420082812.

The previous prime is 420082769. The next prime is 420082841. The reversal of 420082813 is 318280024.

It is an a-pointer prime, because the next prime (420082841) can be obtained adding 420082813 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 252587449 + 167495364 = 15893^2 + 12942^2 .

It is a cyclic number.

It is not a de Polignac number, because 420082813 - 2²¹ = 417985661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420082213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210041406 + 210041407.

It is an arithmetic number, because the mean of its divisors is an integer number (210041407).

Almost surely, 2^420082813 is an apocalyptic number.

It is an amenable number.

420082813 is a deficient number, since it is larger than the sum of its proper divisors (1).

420082813 is an equidigital number, since it uses as much as digits as its factorization.

420082813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 420082813 is about 20495.9218626536. The cubic root of 420082813 is about 748.9364558038.

The spelling of 420082813 in words is "four hundred twenty million, eighty-two thousand, eight hundred thirteen".