4397 has 2 divisors, whose sum is σ = 4398. Its totient is φ = 4396.

The previous prime is 4391. The next prime is 4409. The reversal of 4397 is 7934.

4397 is nontrivially palindromic in base 7.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3721 + 676 = 61^2 + 26^2 .

4397 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 4397 - 2¹⁰ = 3373 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 4⁶ + 9 + 3⁵ + 7² .

It is equal to p₅₉₉ and since 4397 and 599 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 11 and base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2198 + 2199.

It is an arithmetic number, because the mean of its divisors is an integer number (2199).

It is an amenable number.

4397 is a deficient number, since it is larger than the sum of its proper divisors (1).

4397 is an equidigital number, since it uses as much as digits as its factorization.

4397 is an evil number, because the sum of its binary digits is even.

The product of its digits is 756, while the sum is 23.

The square root of 4397 is about 66.3098786004. The cubic root of 4397 is about 16.3827003777.

The spelling of 4397 in words is "four thousand, three hundred ninety-seven".