221298129 has 32 divisors (see below), whose sum is σ = 373847040. Its totient is φ = 128169216.

The previous prime is 221298109. The next prime is 221298193. The reversal of 221298129 is 921892122.

It is not a de Polignac number, because 221298129 - 2⁷ = 221298001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221298093 and 221298102.

It is not an unprimeable number, because it can be changed into a prime (221298109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12577 + ... + 24510.

It is an arithmetic number, because the mean of its divisors is an integer number (11682720).

Almost surely, 2^221298129 is an apocalyptic number.

It is an amenable number.

221298129 is a deficient number, since it is larger than the sum of its proper divisors (152548911).

221298129 is a wasteful number, since it uses less digits than its factorization.

221298129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37126 (or 37120 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 221298129 is about 14876.0925313067. The cubic root of 221298129 is about 604.8661033741.

The spelling of 221298129 in words is "two hundred twenty-one million, two hundred ninety-eight thousand, one hundred twenty-nine".