3997313 has 8 divisors (see below), whose sum is σ = 4104000. Its totient is φ = 3891888.

The previous prime is 3997307. The next prime is 3997319. The reversal of 3997313 is 3137993.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3997307) and next prime (3997319).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3997313 - 2⁴ = 3997297 is a prime.

It is a super-3 number, since 3×3997313³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3997319) 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 in 7 ways as a sum of consecutive naturals, for example, 10358 + ... + 10736.

It is an arithmetic number, because the mean of its divisors is an integer number (513000).

Almost surely, 2^3997313 is an apocalyptic number.

It is an amenable number.

3997313 is a deficient number, since it is larger than the sum of its proper divisors (106687).

3997313 is a wasteful number, since it uses less digits than its factorization.

3997313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631.

The product of its digits is 15309, while the sum is 35.

The square root of 3997313 is about 1999.3281371501. The cubic root of 3997313 is about 158.7045526796.

The spelling of 3997313 in words is "three million, nine hundred ninety-seven thousand, three hundred thirteen".