2221305 has 32 divisors (see below), whose sum is σ = 3898368. Its totient is φ = 1075200.

The previous prime is 2221301. The next prime is 2221321. The reversal of 2221305 is 5031222.

It is not a de Polignac number, because 2221305 - 2² = 2221301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

2221305 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2221301) 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, 7765 + ... + 8045.

It is an arithmetic number, because the mean of its divisors is an integer number (121824).

2^2221305 is an apocalyptic number.

It is an amenable number.

2221305 is a deficient number, since it is larger than the sum of its proper divisors (1677063).

2221305 is a wasteful number, since it uses less digits than its factorization.

2221305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2221305 is about 1490.4043075622. The cubic root of 2221305 is about 130.4776315502.

Adding to 2221305 its reverse (5031222), we get a palindrome (7252527).

The spelling of 2221305 in words is "two million, two hundred twenty-one thousand, three hundred five".