1300221 has 12 divisors (see below), whose sum is σ = 2022748. Its totient is φ = 800064.

The previous prime is 1300199. The next prime is 1300237. The reversal of 1300221 is 1220031.

1300221 = 211² + 212² + ... + 236².

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 68121 + 1232100 = 261^2 + 1110^2 .

It is not a de Polignac number, because 1300221 - 2⁹ = 1299709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5440 + ... + 5673.

2^1300221 is an apocalyptic number.

It is an amenable number.

1300221 is a deficient number, since it is larger than the sum of its proper divisors (722527).

1300221 is a wasteful number, since it uses less digits than its factorization.

1300221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11132 (or 11129 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1300221 is about 1140.2723358917. The cubic root of 1300221 is about 109.1454725154.

Adding to 1300221 its reverse (1220031), we get a palindrome (2520252).

It can be divided in two parts, 1300 and 221, that added together give a square (1521 = 39²).

The spelling of 1300221 in words is "one million, three hundred thousand, two hundred twenty-one".