403133985 has 24 divisors (see below), whose sum is σ = 699874344. Its totient is φ = 214663680.

The previous prime is 403133977. The next prime is 403133989. The reversal of 403133985 is 589331304.

It can be written as a sum of positive squares in 4 ways, for example, as 139428864 + 263705121 = 11808^2 + 16239^2 .

It is not a de Polignac number, because 403133985 - 2³ = 403133977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (403133989) 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 in 23 ways as a sum of consecutive naturals, for example, 22969 + ... + 36521.

It is an arithmetic number, because the mean of its divisors is an integer number (29161431).

Almost surely, 2^403133985 is an apocalyptic number.

403133985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

403133985 is a deficient number, since it is larger than the sum of its proper divisors (296740359).

403133985 is a wasteful number, since it uses less digits than its factorization.

403133985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14225 (or 14222 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 403133985 is about 20078.1967566811. The cubic root of 403133985 is about 738.7255791699.

The spelling of 403133985 in words is "four hundred three million, one hundred thirty-three thousand, nine hundred eighty-five".