4199 has 8 divisors (see below), whose sum is σ = 5040. Its totient is φ = 3456.

The previous prime is 4177. The next prime is 4201. The reversal of 4199 is 9914.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4199 - 2⁸ = 3943 is a prime.

It is a Duffinian number.

4199 is a modest number, since divided by 99 gives 41 as remainder.

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 4199.

It is not an unprimeable number, because it can be changed into a prime (4129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212 + ... + 230.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

2⁴¹⁹⁹ is an apocalyptic number.

4199 is a deficient number, since it is larger than the sum of its proper divisors (841).

4199 is a wasteful number, since it uses less digits than its factorization.

4199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49.

The product of its digits is 324, while the sum is 23.

The square root of 4199 is about 64.7996913573. The cubic root of 4199 is about 16.1330058597.

The spelling of 4199 in words is "four thousand, one hundred ninety-nine".