3697 has 2 divisors, whose sum is σ = 3698. Its totient is φ = 3696.

The previous prime is 3691. The next prime is 3701. The reversal of 3697 is 7963.

3697 = 6⁴ + 7⁴.

3697 is nontrivially palindromic in base 7.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2401 + 1296 = 49^2 + 36^2 .

It is an emirp because it is prime and its reverse (7963) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3697 is a prime.

3697 is a lucky number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3697.

It is not a weakly prime, because it can be changed into another prime (3691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1848 + 1849.

It is an arithmetic number, because the mean of its divisors is an integer number (1849).

3697 is the 33-rd centered heptagonal number.

It is an amenable number.

3697 is a deficient number, since it is larger than the sum of its proper divisors (1).

3697 is an equidigital number, since it uses as much as digits as its factorization.

3697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 25.

The square root of 3697 is about 60.8029604542. The cubic root of 3697 is about 15.4626223902.

The spelling of 3697 in words is "three thousand, six hundred ninety-seven".