1012993 has 2 divisors, whose sum is σ = 1012994. Its totient is φ = 1012992.

The previous prime is 1012981. The next prime is 1012997. The reversal of 1012993 is 3992101.

1012993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 859329 + 153664 = 927^2 + 392^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012993 - 2⁹ = 1012481 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506496 + 506497.

It is an arithmetic number, because the mean of its divisors is an integer number (506497).

2^1012993 is an apocalyptic number.

It is an amenable number.

1012993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012993 is an equidigital number, since it uses as much as digits as its factorization.

1012993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 1012993 is about 1006.4755337314. The cubic root of 1012993 is about 100.4312376676.

The spelling of 1012993 in words is "one million, twelve thousand, nine hundred ninety-three".