4197 has 4 divisors (see below), whose sum is σ = 5600. Its totient is φ = 2796.

The previous prime is 4177. The next prime is 4201. The reversal of 4197 is 7914.

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 not a de Polignac number, because 4197 - 2⁶ = 4133 is a prime.

It is a super-2 number, since 2×4197² = 35229618, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4197.

It is not an unprimeable number, because it can be changed into a prime (4127) 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 in 3 ways as a sum of consecutive naturals, for example, 697 + ... + 702.

It is an arithmetic number, because the mean of its divisors is an integer number (1400).

2⁴¹⁹⁷ is an apocalyptic number.

It is an amenable number.

4197 is a deficient number, since it is larger than the sum of its proper divisors (1403).

4197 is a wasteful number, since it uses less digits than its factorization.

4197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402.

The product of its digits is 252, while the sum is 21.

The square root of 4197 is about 64.7842573470. The cubic root of 4197 is about 16.1304440485.

The spelling of 4197 in words is "four thousand, one hundred ninety-seven".