4097 has 4 divisors (see below), whose sum is σ = 4356. Its totient is φ = 3840.

The previous prime is 4093. The next prime is 4099. The reversal of 4097 is 7904.

4097 is nontrivially palindromic in base 2, base 4, base 8 and base 16.

It is a Cunningham number, because it is equal to 2¹²+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 3136 + 961 = 56^2 + 31^2 .

It is a cyclic number.

It is not a de Polignac number, because 4097 - 2² = 4093 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4097.

It is not an unprimeable number, because it can be changed into a prime (4091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104 + ... + 137.

It is an arithmetic number, because the mean of its divisors is an integer number (1089).

It is a Proth number, since it is equal to 1 ⋅ 2¹² + 1 and 1 < 2¹².

2⁴⁰⁹⁷ is an apocalyptic number.

It is an amenable number.

4097 is a deficient number, since it is larger than the sum of its proper divisors (259).

4097 is a wasteful number, since it uses less digits than its factorization.

4097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 4097 is about 64.0078120232. The cubic root of 4097 is about 16.0013019774.

The spelling of 4097 in words is "four thousand, ninety-seven".