1081305 has 12 divisors (see below), whose sum is σ = 1874340. Its totient is φ = 576672.

The previous prime is 1081303. The next prime is 1081307. The reversal of 1081305 is 5031801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1081303) and next prime (1081307).

It can be written as a sum of positive squares in 2 ways, for example, as 853776 + 227529 = 924^2 + 477^2 .

It is not a de Polignac number, because 1081305 - 2¹ = 1081303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1081303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11970 + ... + 12059.

It is an arithmetic number, because the mean of its divisors is an integer number (156195).

2^1081305 is an apocalyptic number.

1081305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1081305 is a deficient number, since it is larger than the sum of its proper divisors (793035).

1081305 is a wasteful number, since it uses less digits than its factorization.

1081305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24040 (or 24037 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1081305 is about 1039.8581634050. The cubic root of 1081305 is about 102.6398645859.

Subtracting from 1081305 its product of nonzero digits (120), we obtain a triangular number (1081185 = T₁₄₇₀).

The spelling of 1081305 in words is "one million, eighty-one thousand, three hundred five".