1057311 has 12 divisors (see below), whose sum is σ = 1580280. Its totient is φ = 680400.

The previous prime is 1057307. The next prime is 1057361. The reversal of 1057311 is 1137501.

It is a happy number.

It is not a de Polignac number, because 1057311 - 2² = 1057307 is a prime.

It is a super-2 number, since 2×1057311² = 2235813101442, which contains 22 as substring.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1765 + ... + 2286.

It is an arithmetic number, because the mean of its divisors is an integer number (131690).

2^1057311 is an apocalyptic number.

1057311 is a deficient number, since it is larger than the sum of its proper divisors (522969).

1057311 is a wasteful number, since it uses less digits than its factorization.

1057311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 1057311 is about 1028.2562910092. The cubic root of 1057311 is about 101.8749910296.

The spelling of 1057311 in words is "one million, fifty-seven thousand, three hundred eleven".