221846 has 4 divisors (see below), whose sum is σ = 332772. Its totient is φ = 110922.

The previous prime is 221831. The next prime is 221849. The reversal of 221846 is 648122.

221846 = 234² + 235² + ... + 237².

221846 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two 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 221846.

It is not an unprimeable number, because it can be changed into a prime (221849) by changing a digit.

221846 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 as a sum of consecutive naturals, namely, 55460 + ... + 55463.

It is an arithmetic number, because the mean of its divisors is an integer number (83193).

2²²¹⁸⁴⁶ is an apocalyptic number.

221846 is a deficient number, since it is larger than the sum of its proper divisors (110926).

221846 is a wasteful number, since it uses less digits than its factorization.

221846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110925.

The product of its digits is 768, while the sum is 23.

The square root of 221846 is about 471.0053078257. The cubic root of 221846 is about 60.5364850621.

Adding to 221846 its reverse (648122), we get a palindrome (869968).

It can be divided in two parts, 221 and 846, that multiplied together give a triangular number (186966 = T₆₁₁).

The spelling of 221846 in words is "two hundred twenty-one thousand, eight hundred forty-six".