1053585 has 24 divisors (see below), whose sum is σ = 1967784. Its totient is φ = 518400.

The previous prime is 1053583. The next prime is 1053589. The reversal of 1053585 is 5853501.

It can be written as a sum of positive squares in 4 ways, for example, as 7056 + 1046529 = 84^2 + 1023^2 .

It is not a de Polignac number, because 1053585 - 2¹ = 1053583 is a prime.

It is a super-2 number, since 2×1053585² = 2220082704450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053581) 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 23 ways as a sum of consecutive naturals, for example, 316 + ... + 1485.

It is an arithmetic number, because the mean of its divisors is an integer number (81991).

2^1053585 is an apocalyptic number.

1053585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1053585 is a deficient number, since it is larger than the sum of its proper divisors (914199).

1053585 is a wasteful number, since it uses less digits than its factorization.

1053585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1053585 is about 1026.4428868671. The cubic root of 1053585 is about 101.7551798662.

The spelling of 1053585 in words is "one million, fifty-three thousand, five hundred eighty-five".