221729753 has 12 divisors (see below), whose sum is σ = 271506960. Its totient is φ = 180050472.

The previous prime is 221729749. The next prime is 221729773. The reversal of 221729753 is 357927122.

It is a happy number.

It is not a de Polignac number, because 221729753 - 2² = 221729749 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (221729713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118151 + ... + 120012.

It is an arithmetic number, because the mean of its divisors is an integer number (22625580).

Almost surely, 2^221729753 is an apocalyptic number.

It is an amenable number.

221729753 is a deficient number, since it is larger than the sum of its proper divisors (49777207).

221729753 is a wasteful number, since it uses less digits than its factorization.

221729753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238196 (or 238189 counting only the distinct ones).

The product of its digits is 52920, while the sum is 38.

The square root of 221729753 is about 14890.5927685905. The cubic root of 221729753 is about 605.2590953632.

The spelling of 221729753 in words is "two hundred twenty-one million, seven hundred twenty-nine thousand, seven hundred fifty-three".