385090829 has 2 divisors, whose sum is σ = 385090830. Its totient is φ = 385090828.

The previous prime is 385090813. The next prime is 385090831. The reversal of 385090829 is 928090583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 286624900 + 98465929 = 16930^2 + 9923^2 .

It is a cyclic number.

It is not a de Polignac number, because 385090829 - 2⁴ = 385090813 is a prime.

Together with 385090831, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 385090829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (385090859) 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, 192545414 + 192545415.

It is an arithmetic number, because the mean of its divisors is an integer number (192545415).

Almost surely, 2^385090829 is an apocalyptic number.

It is an amenable number.

385090829 is a deficient number, since it is larger than the sum of its proper divisors (1).

385090829 is an equidigital number, since it uses as much as digits as its factorization.

385090829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 385090829 is about 19623.7312710911. The cubic root of 385090829 is about 727.5358391747.

The spelling of 385090829 in words is "three hundred eighty-five million, ninety thousand, eight hundred twenty-nine".