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4206 = 23701

4206 has 8 divisors (see below), whose sum is σ = 8424. Its totient is φ = 1400.

The previous prime is 4201. The next prime is 4211. The reversal of 4206 is 6024.

4206 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (4201) and next prime (4211).

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

4206 is an admirable number.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 4191 and 4200.

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 4206.

It is not an unprimeable number, because it can be changed into a prime (4201) by changing a digit.

4206 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 345 + ... + 356.

It is an arithmetic number, because the mean of its divisors is an integer number (1053).

24206 is an apocalyptic number.

4206 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212).

4206 is a wasteful number, since it uses less digits than its factorization.

4206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4206 is about 64.8536814684. The cubic root of 4206 is about 16.1419657981.

It can be divided in two parts, 4 and 206, that added together give a triangular number (210 = T20).

The spelling of 4206 in words is "four thousand, two hundred six".

Divisors: 1 2 3 6 701 1402 2103 4206