1305225 has 18 divisors (see below), whose sum is σ = 2338206. Its totient is φ = 696000.

The previous prime is 1305169. The next prime is 1305229. The reversal of 1305225 is 5225031.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 389376 + 915849 = 624^2 + 957^2 .

It is not a de Polignac number, because 1305225 - 2⁷ = 1305097 is a prime.

It is a super-2 number, since 2×1305225² = 3407224601250, which contains 22 as substring.

It is a Curzon number.

1305225 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1305198 and 1305207.

It is not an unprimeable number, because it can be changed into a prime (1305229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2676 + ... + 3125.

2^1305225 is an apocalyptic number.

1305225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1305225 is a deficient number, since it is larger than the sum of its proper divisors (1032981).

1305225 is a wasteful number, since it uses less digits than its factorization.

1305225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5817 (or 5809 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1305225 is about 1142.4644414598. The cubic root of 1305225 is about 109.2853115087.

The spelling of 1305225 in words is "one million, three hundred five thousand, two hundred twenty-five".