221946 has 16 divisors (see below), whose sum is σ = 451008. Its totient is φ = 72800.

The previous prime is 221941. The next prime is 221951. The reversal of 221946 is 649122.

It is an interprime number because it is at equal distance from previous prime (221941) and next prime (221951).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (221941) 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 7 ways as a sum of consecutive naturals, for example, 166 + ... + 686.

It is an arithmetic number, because the mean of its divisors is an integer number (28188).

2²²¹⁹⁴⁶ is an apocalyptic number.

221946 is an abundant number, since it is smaller than the sum of its proper divisors (229062).

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

221946 is a wasteful number, since it uses less digits than its factorization.

221946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597.

The product of its digits is 864, while the sum is 24.

The square root of 221946 is about 471.1114517818. Note that the first 3 decimals coincide. The cubic root of 221946 is about 60.5455795678.

The spelling of 221946 in words is "two hundred twenty-one thousand, nine hundred forty-six".