7347 has 8 divisors (see below), whose sum is σ = 10240. Its totient is φ = 4680.

The previous prime is 7333. The next prime is 7349. The reversal of 7347 is 7437.

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

It is not a de Polignac number, because 7347 - 2⁴ = 7331 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11 and base 15.

It is not an unprimeable number, because it can be changed into a prime (7349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54 + ... + 132.

It is an arithmetic number, because the mean of its divisors is an integer number (1280).

2⁷³⁴⁷ is an apocalyptic number.

7347 is a deficient number, since it is larger than the sum of its proper divisors (2893).

7347 is a wasteful number, since it uses less digits than its factorization.

7347 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113.

The product of its digits is 588, while the sum is 21.

The square root of 7347 is about 85.7146428564. The cubic root of 7347 is about 19.4403171890.

It can be divided in two parts, 734 and 7, that added together give a triangular number (741 = T₃₈).

The spelling of 7347 in words is "seven thousand, three hundred forty-seven", and thus it is an iban number.