22800313 has 2 divisors, whose sum is σ = 22800314. Its totient is φ = 22800312.

The previous prime is 22800307. The next prime is 22800317. The reversal of 22800313 is 31300822.

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., 14197824 + 8602489 = 3768^2 + 2933^2 .

It is a cyclic number.

It is not a de Polignac number, because 22800313 - 2⁹ = 22799801 is a prime.

It is a super-3 number, since 3×22800313³ (a number of 23 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (22800317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11400156 + 11400157.

It is an arithmetic number, because the mean of its divisors is an integer number (11400157).

Almost surely, 2^22800313 is an apocalyptic number.

It is an amenable number.

22800313 is a deficient number, since it is larger than the sum of its proper divisors (1).

22800313 is an equidigital number, since it uses as much as digits as its factorization.

22800313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 22800313 is about 4774.9673297312. The cubic root of 22800313 is about 283.5612853747.

The spelling of 22800313 in words is "twenty-two million, eight hundred thousand, three hundred thirteen".