1800313 has 2 divisors, whose sum is σ = 1800314. Its totient is φ = 1800312.

The previous prime is 1800311. The next prime is 1800341. The reversal of 1800313 is 3130081.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1617984 + 182329 = 1272^2 + 427^2 .

It is a cyclic number.

It is not a de Polignac number, because 1800313 - 2¹ = 1800311 is a prime.

It is a super-2 number, since 2×1800313² = 6482253795938, which contains 22 as substring.

Together with 1800311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1800311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 900156 + 900157.

It is an arithmetic number, because the mean of its divisors is an integer number (900157).

2^1800313 is an apocalyptic number.

It is an amenable number.

1800313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1800313 is an equidigital number, since it uses as much as digits as its factorization.

1800313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1800313 is about 1341.7574296422. The cubic root of 1800313 is about 121.6510903518.

Adding to 1800313 its reverse (3130081), we get a palindrome (4930394).

The spelling of 1800313 in words is "one million, eight hundred thousand, three hundred thirteen".