1057313 has 4 divisors (see below), whose sum is σ = 1074708. Its totient is φ = 1039920.

The previous prime is 1057307. The next prime is 1057361. The reversal of 1057313 is 3137501.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3137501 = 1019 ⋅3079.

It can be written as a sum of positive squares in 2 ways, for example, as 43264 + 1014049 = 208^2 + 1007^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057313 - 2⁶ = 1057249 is a prime.

It is a super-2 number, since 2×1057313² = 2235821559938, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1057393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8606 + ... + 8727.

It is an arithmetic number, because the mean of its divisors is an integer number (268677).

2^1057313 is an apocalyptic number.

It is an amenable number.

1057313 is a deficient number, since it is larger than the sum of its proper divisors (17395).

1057313 is an equidigital number, since it uses as much as digits as its factorization.

1057313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17394.

The product of its (nonzero) digits is 315, while the sum is 20.

The square root of 1057313 is about 1028.2572635289. The cubic root of 1057313 is about 101.8750552649.

The spelling of 1057313 in words is "one million, fifty-seven thousand, three hundred thirteen".