1029361 has 2 divisors, whose sum is σ = 1029362. Its totient is φ = 1029360.

The previous prime is 1029359. The next prime is 1029383. The reversal of 1029361 is 1639201.

It is an a-pointer prime, because the next prime (1029383) can be obtained adding 1029361 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 705600 + 323761 = 840^2 + 569^2 .

It is an emirp because it is prime and its reverse (1639201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1029361 - 2¹ = 1029359 is a prime.

Together with 1029359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1029331) 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, 514680 + 514681.

It is an arithmetic number, because the mean of its divisors is an integer number (514681).

2^1029361 is an apocalyptic number.

It is an amenable number.

1029361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1029361 is an equidigital number, since it uses as much as digits as its factorization.

1029361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 1029361 is about 1014.5742949632. The cubic root of 1029361 is about 100.9692747111.

The spelling of 1029361 in words is "one million, twenty-nine thousand, three hundred sixty-one".