45206 has 8 divisors (see below), whose sum is σ = 77520. Its totient is φ = 19368.

The previous prime is 45197. The next prime is 45233. The reversal of 45206 is 60254.

45206 = 36² + 37² + ... + 56².

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

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 45206.

It is an unprimeable number.

45206 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1601 + ... + 1628.

It is an arithmetic number, because the mean of its divisors is an integer number (9690).

2⁴⁵²⁰⁶ is an apocalyptic number.

45206 is a deficient number, since it is larger than the sum of its proper divisors (32314).

45206 is a wasteful number, since it uses less digits than its factorization.

45206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238.

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 45206 is about 212.6170265995. The cubic root of 45206 is about 35.6231259915.

The spelling of 45206 in words is "forty-five thousand, two hundred six".