1057753 has 2 divisors, whose sum is σ = 1057754. Its totient is φ = 1057752.

The previous prime is 1057741. The next prime is 1057781. The reversal of 1057753 is 3577501.

It is an a-pointer prime, because the next prime (1057781) can be obtained adding 1057753 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 824464 + 233289 = 908^2 + 483^2 .

It is an emirp because it is prime and its reverse (3577501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1057753 is a prime.

It is a super-2 number, since 2×1057753² = 2237682818018, which contains 22 as substring.

1057753 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (1057703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528876 + 528877.

It is an arithmetic number, because the mean of its divisors is an integer number (528877).

2^1057753 is an apocalyptic number.

It is an amenable number.

1057753 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057753 is an equidigital number, since it uses as much as digits as its factorization.

1057753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3675, while the sum is 28.

The square root of 1057753 is about 1028.4711955130. The cubic root of 1057753 is about 101.8891850473.

The spelling of 1057753 in words is "one million, fifty-seven thousand, seven hundred fifty-three".