1057993 has 2 divisors, whose sum is σ = 1057994. Its totient is φ = 1057992.

The previous prime is 1057981. The next prime is 1058009. The reversal of 1057993 is 3997501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1006009 + 51984 = 1003^2 + 228^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057993 - 2¹⁷ = 926921 is a prime.

It is a super-2 number, since 2×1057993² = 2238698376098, which contains 22 as substring.

1057993 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (1057963) 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, 528996 + 528997.

It is an arithmetic number, because the mean of its divisors is an integer number (528997).

2^1057993 is an apocalyptic number.

It is an amenable number.

1057993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057993 is an equidigital number, since it uses as much as digits as its factorization.

1057993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8505, while the sum is 34.

The square root of 1057993 is about 1028.5878669321. The cubic root of 1057993 is about 101.8968905498.

The spelling of 1057993 in words is "one million, fifty-seven thousand, nine hundred ninety-three".