221005429 has 2 divisors, whose sum is σ = 221005430. Its totient is φ = 221005428.

The previous prime is 221005427. The next prime is 221005439. The reversal of 221005429 is 924500122.

221005429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 216884529 + 4120900 = 14727^2 + 2030^2 .

It is a cyclic number.

It is not a de Polignac number, because 221005429 - 2¹ = 221005427 is a prime.

Together with 221005427, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221005427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110502714 + 110502715.

It is an arithmetic number, because the mean of its divisors is an integer number (110502715).

Almost surely, 2^221005429 is an apocalyptic number.

It is an amenable number.

221005429 is a deficient number, since it is larger than the sum of its proper divisors (1).

221005429 is an equidigital number, since it uses as much as digits as its factorization.

221005429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 221005429 is about 14866.2513432270. The cubic root of 221005429 is about 604.5993103040.

The spelling of 221005429 in words is "two hundred twenty-one million, five thousand, four hundred twenty-nine".