52206 has 32 divisors (see below), whose sum is σ = 131328. Its totient is φ = 13440.

The previous prime is 52201. The next prime is 52223. The reversal of 52206 is 60225.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406 + ... + 518.

It is an arithmetic number, because the mean of its divisors is an integer number (4104).

2⁵²²⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65664).

52206 is an abundant number, since it is smaller than the sum of its proper divisors (79122).

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

52206 is a wasteful number, since it uses less digits than its factorization.

With its successor (52207) it forms an eRAP, since the sums of their prime factors are consecutive (136 and 137).

52206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 52206 is about 228.4863234419. The cubic root of 52206 is about 37.3743349136.

Adding to 52206 its product of nonzero digits (120), we get a triangular number (52326 = T₃₂₃).

It can be divided in two parts, 5 and 2206, that added together give a triangular number (2211 = T₆₆).

The spelling of 52206 in words is "fifty-two thousand, two hundred six".