4017313 has 2 divisors, whose sum is σ = 4017314. Its totient is φ = 4017312.

The previous prime is 4017311. The next prime is 4017353. The reversal of 4017313 is 3137104.

4017313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3775249 + 242064 = 1943^2 + 492^2 .

It is a cyclic number.

It is not a de Polignac number, because 4017313 - 2¹ = 4017311 is a prime.

It is a super-2 number, since 2×4017313² = 32277607479938, which contains 22 as substring.

Together with 4017311, it forms a pair of twin primes.

It is a nialpdrome in base 13.

It is not a weakly prime, because it can be changed into another prime (4017311) 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, 2008656 + 2008657.

It is an arithmetic number, because the mean of its divisors is an integer number (2008657).

Almost surely, 2^4017313 is an apocalyptic number.

It is an amenable number.

4017313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4017313 is an equidigital number, since it uses as much as digits as its factorization.

4017313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 4017313 is about 2004.3235766712. The cubic root of 4017313 is about 158.9687978539.

It can be divided in two parts, 40173 and 13, that added together give a triangular number (40186 = T₂₈₃).

The spelling of 4017313 in words is "four million, seventeen thousand, three hundred thirteen".