1005733221 has 4 divisors (see below), whose sum is σ = 1340977632. Its totient is φ = 670488812.

The previous prime is 1005733199. The next prime is 1005733237. The reversal of 1005733221 is 1223375001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1005733221 - 2⁵ = 1005733189 is a prime.

It is a super-2 number, since 2×1005733221² = 2022998623646069682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005733191 and 1005733200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005733241) 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 3 ways as a sum of consecutive naturals, for example, 167622201 + ... + 167622206.

It is an arithmetic number, because the mean of its divisors is an integer number (335244408).

Almost surely, 2^1005733221 is an apocalyptic number.

It is an amenable number.

1005733221 is a deficient number, since it is larger than the sum of its proper divisors (335244411).

1005733221 is an equidigital number, since it uses as much as digits as its factorization.

1005733221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335244410.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 1005733221 is about 31713.2972268731. The cubic root of 1005733221 is about 1001.9074330525.

The spelling of 1005733221 in words is "one billion, five million, seven hundred thirty-three thousand, two hundred twenty-one".