2251205 has 18 divisors (see below), whose sum is σ = 3018834. Its totient is φ = 1610400.

The previous prime is 2251201. The next prime is 2251211. The reversal of 2251205 is 5021522.

It can be written as a sum of positive squares in 3 ways, for example, as 174724 + 2076481 = 418^2 + 1441^2 .

It is not a de Polignac number, because 2251205 - 2² = 2251201 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36875 + ... + 36935.

It is an arithmetic number, because the mean of its divisors is an integer number (167713).

2^2251205 is an apocalyptic number.

It is an amenable number.

2251205 is a deficient number, since it is larger than the sum of its proper divisors (767629).

2251205 is an equidigital number, since it uses as much as digits as its factorization.

2251205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 2251205 is about 1500.4016129024. The cubic root of 2251205 is about 131.0604580792.

Adding to 2251205 its reverse (5021522), we get a palindrome (7272727).

The spelling of 2251205 in words is "two million, two hundred fifty-one thousand, two hundred five".