1013833 has 2 divisors, whose sum is σ = 1013834. Its totient is φ = 1013832.

The previous prime is 1013827. The next prime is 1013839. The reversal of 1013833 is 3383101.

It is a balanced prime because it is at equal distance from previous prime (1013827) and next prime (1013839).

It can be written as a sum of positive squares in only one way, i.e., 751689 + 262144 = 867^2 + 512^2 .

It is an emirp because it is prime and its reverse (3383101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1013833 - 2⁹ = 1013321 is a prime.

1013833 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1013833.

It is not a weakly prime, because it can be changed into another prime (1013839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506916 + 506917.

It is an arithmetic number, because the mean of its divisors is an integer number (506917).

2^1013833 is an apocalyptic number.

It is an amenable number.

1013833 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013833 is an equidigital number, since it uses as much as digits as its factorization.

1013833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1013833 is about 1006.8927450330. The cubic root of 1013833 is about 100.4589900581.

Adding to 1013833 its product of nonzero digits (216), we get a square (1014049 = 1007²).

Adding to 1013833 its reverse (3383101), we get a palindrome (4396934).

The spelling of 1013833 in words is "one million, thirteen thousand, eight hundred thirty-three".