4997 has 4 divisors (see below), whose sum is σ = 5280. Its totient is φ = 4716.

The previous prime is 4993. The next prime is 4999. The reversal of 4997 is 7994.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 4997 - 2² = 4993 is a prime.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 4 and 997 contains 4997 itself.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4993) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113 + ... + 150.

It is an arithmetic number, because the mean of its divisors is an integer number (1320).

2⁴⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

4997 is a deficient number, since it is larger than the sum of its proper divisors (283).

4997 is a wasteful number, since it uses less digits than its factorization.

4997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282.

The product of its digits is 2268, while the sum is 29.

The square root of 4997 is about 70.6894617323. The cubic root of 4997 is about 17.0963388307.

It can be divided in two parts, 49 and 97, that multiplied together give a triangular number (4753 = T₉₇).

The spelling of 4997 in words is "four thousand, nine hundred ninety-seven".