8100413 has 2 divisors, whose sum is σ = 8100414. Its totient is φ = 8100412.

The previous prime is 8100401. The next prime is 8100419. The reversal of 8100413 is 3140018.

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., 4853209 + 3247204 = 2203^2 + 1802^2 .

It is a cyclic number.

It is not a de Polignac number, because 8100413 - 2⁶ = 8100349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8100391 and 8100400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8100419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4050206 + 4050207.

It is an arithmetic number, because the mean of its divisors is an integer number (4050207).

Almost surely, 2^8100413 is an apocalyptic number.

It is an amenable number.

8100413 is a deficient number, since it is larger than the sum of its proper divisors (1).

8100413 is an equidigital number, since it uses as much as digits as its factorization.

8100413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 8100413 is about 2846.1224499308. The cubic root of 8100413 is about 200.8332982482.

The spelling of 8100413 in words is "eight million, one hundred thousand, four hundred thirteen".