8401313 has 2 divisors, whose sum is σ = 8401314. Its totient is φ = 8401312.

The previous prime is 8401303. The next prime is 8401321. The reversal of 8401313 is 3131048.

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., 6190144 + 2211169 = 2488^2 + 1487^2 .

It is a cyclic number.

It is not a de Polignac number, because 8401313 - 2¹² = 8397217 is a prime.

It is an Ulam number.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (8401303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4200656 + 4200657.

It is an arithmetic number, because the mean of its divisors is an integer number (4200657).

Almost surely, 2^8401313 is an apocalyptic number.

It is an amenable number.

8401313 is a deficient number, since it is larger than the sum of its proper divisors (1).

8401313 is an equidigital number, since it uses as much as digits as its factorization.

8401313 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 20.

The square root of 8401313 is about 2898.5018544069. The cubic root of 8401313 is about 203.2898623065.

The spelling of 8401313 in words is "eight million, four hundred one thousand, three hundred thirteen".