1057365 has 12 divisors (see below), whose sum is σ = 1832844. Its totient is φ = 563904.

The previous prime is 1057361. The next prime is 1057367. The reversal of 1057365 is 5637501.

It can be written as a sum of positive squares in 2 ways, for example, as 617796 + 439569 = 786^2 + 663^2 .

It is not a de Polignac number, because 1057365 - 2² = 1057361 is a prime.

It is a super-2 number, since 2×1057365² = 2236041486450, which contains 22 as substring.

1057365 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057361) 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 11 ways as a sum of consecutive naturals, for example, 11704 + ... + 11793.

It is an arithmetic number, because the mean of its divisors is an integer number (152737).

2^1057365 is an apocalyptic number.

1057365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1057365 is a deficient number, since it is larger than the sum of its proper divisors (775479).

1057365 is a wasteful number, since it uses less digits than its factorization.

1057365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23508 (or 23505 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 1057365 is about 1028.2825487190. The cubic root of 1057365 is about 101.8767253525.

It can be divided in two parts, 10 and 57365, that added together give a palindrome (57375).

The spelling of 1057365 in words is "one million, fifty-seven thousand, three hundred sixty-five".