906303829 has 2 divisors, whose sum is σ = 906303830. Its totient is φ = 906303828.

The previous prime is 906303787. The next prime is 906303859. The reversal of 906303829 is 928303609.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 679801329 + 226502500 = 26073^2 + 15050^2 .

It is an emirp because it is prime and its reverse (928303609) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 906303829 - 2⁷ = 906303701 is a prime.

It is a super-2 number, since 2×906303829² = 1642773260920122482, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 906303791 and 906303800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (906303859) 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, 453151914 + 453151915.

It is an arithmetic number, because the mean of its divisors is an integer number (453151915).

Almost surely, 2^906303829 is an apocalyptic number.

It is an amenable number.

906303829 is a deficient number, since it is larger than the sum of its proper divisors (1).

906303829 is an equidigital number, since it uses as much as digits as its factorization.

906303829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 906303829 is about 30104.8804847320. The cubic root of 906303829 is about 967.7383198161.

The spelling of 906303829 in words is "nine hundred six million, three hundred three thousand, eight hundred twenty-nine".