1012829 has 2 divisors, whose sum is σ = 1012830. Its totient is φ = 1012828.

The previous prime is 1012811. The next prime is 1012831. The reversal of 1012829 is 9282101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 525625 + 487204 = 725^2 + 698^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012829 - 2⁸ = 1012573 is a prime.

It is a Sophie Germain prime.

Together with 1012831, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506414 + 506415.

It is an arithmetic number, because the mean of its divisors is an integer number (506415).

2^1012829 is an apocalyptic number.

It is an amenable number.

1012829 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012829 is an equidigital number, since it uses as much as digits as its factorization.

1012829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 1012829 is about 1006.3940580111. The cubic root of 1012829 is about 100.4258175538.

The spelling of 1012829 in words is "one million, twelve thousand, eight hundred twenty-nine".