1057681 has 2 divisors, whose sum is σ = 1057682. Its totient is φ = 1057680.

The previous prime is 1057663. The next prime is 1057699. The reversal of 1057681 is 1867501.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (1057663) and next prime (1057699).

It can be written as a sum of positive squares in only one way, i.e., 1050625 + 7056 = 1025^2 + 84^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1057681 is a prime.

It is a super-2 number, since 2×1057681² = 2237378195522, which contains 22 as substring.

It is equal to p₈₂₆₆₆ and since 1057681 and 82666 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (1057631) 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 as a sum of consecutive naturals, namely, 528840 + 528841.

It is an arithmetic number, because the mean of its divisors is an integer number (528841).

2^1057681 is an apocalyptic number.

It is an amenable number.

1057681 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057681 is an equidigital number, since it uses as much as digits as its factorization.

1057681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 1057681 is about 1028.4361915063. The cubic root of 1057681 is about 101.8868731692.

The spelling of 1057681 in words is "one million, fifty-seven thousand, six hundred eighty-one".