3117937 has 8 divisors (see below), whose sum is σ = 3217320. Its totient is φ = 3020160.

The previous prime is 3117923. The next prime is 3117941. The reversal of 3117937 is 7397113.

It can be written as a sum of positive squares in 4 ways, for example, as 712336 + 2405601 = 844^2 + 1551^2 .

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 3117937 - 2⁷ = 3117809 is a prime.

It is a super-3 number, since 3×3117937³ = 90933364876469327859, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3117899 and 3117908.

It is not an unprimeable number, because it can be changed into a prime (3117967) 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, 4387 + ... + 5047.

It is an arithmetic number, because the mean of its divisors is an integer number (402165).

Almost surely, 2^3117937 is an apocalyptic number.

It is an amenable number.

3117937 is a deficient number, since it is larger than the sum of its proper divisors (99383).

3117937 is an equidigital number, since it uses as much as digits as its factorization.

3117937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803.

The product of its digits is 3969, while the sum is 31.

The square root of 3117937 is about 1765.7681048201. The cubic root of 3117937 is about 146.0906580251.

The spelling of 3117937 in words is "three million, one hundred seventeen thousand, nine hundred thirty-seven".