221461249 has 2 divisors, whose sum is σ = 221461250. Its totient is φ = 221461248.

The previous prime is 221461231. The next prime is 221461259. The reversal of 221461249 is 942164122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 169520400 + 51940849 = 13020^2 + 7207^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221461249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221461249.

It is not a weakly prime, because it can be changed into another prime (221461259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110730624 + 110730625.

It is an arithmetic number, because the mean of its divisors is an integer number (110730625).

Almost surely, 2^221461249 is an apocalyptic number.

It is an amenable number.

221461249 is a deficient number, since it is larger than the sum of its proper divisors (1).

221461249 is an equidigital number, since it uses as much as digits as its factorization.

221461249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 31.

The square root of 221461249 is about 14881.5741438868. The cubic root of 221461249 is about 605.0146835222.

The spelling of 221461249 in words is "two hundred twenty-one million, four hundred sixty-one thousand, two hundred forty-nine".