1065305 has 16 divisors (see below), whose sum is σ = 1378944. Its totient is φ = 787200.

The previous prime is 1065283. The next prime is 1065307. The reversal of 1065305 is 5035601.

1065305 = T₃₅ + T₃₆ + ... + T₁₈₅.

It is not a de Polignac number, because 1065305 - 2¹⁰ = 1064281 is a prime.

It is a super-2 number, since 2×1065305² = 2269749486050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1065307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6980 + ... + 7130.

It is an arithmetic number, because the mean of its divisors is an integer number (86184).

2^1065305 is an apocalyptic number.

It is an amenable number.

1065305 is a deficient number, since it is larger than the sum of its proper divisors (313639).

1065305 is a wasteful number, since it uses less digits than its factorization.

1065305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 1065305 is about 1032.1361344319. The cubic root of 1065305 is about 102.1310950550.

It can be divided in two parts, 106 and 5305, that multiplied together give a triangular number (562330 = T₁₀₆₀).

The spelling of 1065305 in words is "one million, sixty-five thousand, three hundred five".