1053305 has 12 divisors (see below), whose sum is σ = 1390116. Its totient is φ = 765600.

The previous prime is 1053301. The next prime is 1053319. The reversal of 1053305 is 5033501.

It can be written as a sum of positive squares in 2 ways, for example, as 116281 + 937024 = 341^2 + 968^2 .

It is not a de Polignac number, because 1053305 - 2² = 1053301 is a prime.

It is a super-2 number, since 2×1053305² = 2218902846050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266 + ... + 1475.

It is an arithmetic number, because the mean of its divisors is an integer number (115843).

2^1053305 is an apocalyptic number.

It is an amenable number.

1053305 is a deficient number, since it is larger than the sum of its proper divisors (336811).

1053305 is a wasteful number, since it uses less digits than its factorization.

1053305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 17.

The square root of 1053305 is about 1026.3064844383. The cubic root of 1053305 is about 101.7461649395.

Adding to 1053305 its reverse (5033501), we get a palindrome (6086806).

The spelling of 1053305 in words is "one million, fifty-three thousand, three hundred five".