4205 has 6 divisors (see below), whose sum is σ = 5226.
Its totient is φ = 3248.
The previous prime is 4201. The next prime is 4211. The reversal of 4205 is 5024.
Adding to 4205 its reverse (5024), we get a palindrome (9229).
It can be divided in two parts, 4 and 205, that multiplied together give a triangular number (820 = T40).
It can be written as a sum of positive squares in 3 ways, for example, as 484 + 3721 = 22^2 + 61^2
It is not a de Polignac number, because 4205 - 22 = 4201 is a prime.
It is a Duffinian number.
4205 is an undulating number in base 12.
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 4205.
It is not an unprimeable number, because it can be changed into a prime (4201) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131 + ... + 159.
It is an arithmetic number, because the mean of its divisors is an integer number (871).
It is an amenable number.
4205 is a deficient number, since it is larger than the sum of its proper divisors (1021).
4205 is an equidigital number, since it uses as much as digits as its factorization.
4205 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 63 (or 34 counting only the distinct ones).
The product of its (nonzero) digits is 40, while the sum is 11.
The square root of 4205 is about 64.8459713475.
The cubic root of 4205 is about 16.1406864159.
The spelling of 4205 in words is "four thousand, two hundred five".