3217 has 2 divisors, whose sum is σ = 3218. Its totient is φ = 3216.

The previous prime is 3209. The next prime is 3221. The reversal of 3217 is 7123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3136 + 81 = 56^2 + 9^2 .

It is a cyclic number.

It is not a de Polignac number, because 3217 - 2³ = 3209 is a prime.

It is an Ulam number.

It is a plaindrome in base 7 and base 14.

It is a nialpdrome in base 8 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 3197 and 3206.

It is not a weakly prime, because it can be changed into another prime (3257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1608 + 1609.

It is an arithmetic number, because the mean of its divisors is an integer number (1609).

2³²¹⁷ is an apocalyptic number.

It is an amenable number.

3217 is a deficient number, since it is larger than the sum of its proper divisors (1).

3217 is an equidigital number, since it uses as much as digits as its factorization.

3217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42, while the sum is 13.

The square root of 3217 is about 56.7186036499. The cubic root of 3217 is about 14.7621751433.

It can be divided in two parts, 32 and 17, that added together give a square (49 = 7²).

The spelling of 3217 in words is "three thousand, two hundred seventeen", and thus it is an iban number.