8202013 has 2 divisors, whose sum is σ = 8202014. Its totient is φ = 8202012.

The previous prime is 8201989. The next prime is 8202023. The reversal of 8202013 is 3102028.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5008644 + 3193369 = 2238^2 + 1787^2 .

It is a cyclic number.

It is not a de Polignac number, because 8202013 - 2⁵ = 8201981 is a prime.

8202013 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8202023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4101006 + 4101007.

It is an arithmetic number, because the mean of its divisors is an integer number (4101007).

Almost surely, 2^8202013 is an apocalyptic number.

It is an amenable number.

8202013 is a deficient number, since it is larger than the sum of its proper divisors (1).

8202013 is an equidigital number, since it uses as much as digits as its factorization.

8202013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 8202013 is about 2863.9156761329. The cubic root of 8202013 is about 201.6694672865.

The spelling of 8202013 in words is "eight million, two hundred two thousand, thirteen".