4005313 has 4 divisors (see below), whose sum is σ = 4313428. Its totient is φ = 3697200.

The previous prime is 4005307. The next prime is 4005317. The reversal of 4005313 is 3135004.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 345744 + 3659569 = 588^2 + 1913^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4005313 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (4005317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 154038 + ... + 154063.

It is an arithmetic number, because the mean of its divisors is an integer number (1078357).

Almost surely, 2^4005313 is an apocalyptic number.

It is an amenable number.

4005313 is a deficient number, since it is larger than the sum of its proper divisors (308115).

4005313 is a wasteful number, since it uses less digits than its factorization.

4005313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308114.

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 4005313 is about 2001.3278092307. The cubic root of 4005313 is about 158.8103562839.

The spelling of 4005313 in words is "four million, five thousand, three hundred thirteen".