221953 has 2 divisors, whose sum is σ = 221954. Its totient is φ = 221952.

The previous prime is 221951. The next prime is 221957. The reversal of 221953 is 359122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124609 + 97344 = 353^2 + 312^2 .

It is a cyclic number.

It is not a de Polignac number, because 221953 - 2¹ = 221951 is a prime.

Together with 221951, it forms a pair of twin primes.

221953 is a lucky number.

It is a nialpdrome in base 12.

It is not a weakly prime, because it can be changed into another prime (221951) by changing a digit.

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 as a sum of consecutive naturals, namely, 110976 + 110977.

It is an arithmetic number, because the mean of its divisors is an integer number (110977).

2²²¹⁹⁵³ is an apocalyptic number.

It is an amenable number.

221953 is a deficient number, since it is larger than the sum of its proper divisors (1).

221953 is an equidigital number, since it uses as much as digits as its factorization.

221953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540, while the sum is 22.

The square root of 221953 is about 471.1188809632. The cubic root of 221953 is about 60.5462160809.

The spelling of 221953 in words is "two hundred twenty-one thousand, nine hundred fifty-three".