400313 has 2 divisors, whose sum is σ = 400314. Its totient is φ = 400312.

The previous prime is 400307. The next prime is 400321. The reversal of 400313 is 313004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 394384 + 5929 = 628^2 + 77^2 .

It is a cyclic number.

It is not a de Polignac number, because 400313 - 2⁴ = 400297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400294 and 400303.

It is not a weakly prime, because it can be changed into another prime (402313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200156 + 200157.

It is an arithmetic number, because the mean of its divisors is an integer number (200157).

2⁴⁰⁰³¹³ is an apocalyptic number.

It is an amenable number.

400313 is a deficient number, since it is larger than the sum of its proper divisors (1).

400313 is an equidigital number, since it uses as much as digits as its factorization.

400313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 400313 is about 632.7029318725. The cubic root of 400313 is about 73.6998433265.

Adding to 400313 its reverse (313004), we get a palindrome (713317).

The spelling of 400313 in words is "four hundred thousand, three hundred thirteen".