10290033 has 24 divisors (see below), whose sum is σ = 16446248. Its totient is φ = 6158592.

The previous prime is 10290019. The next prime is 10290073. The reversal of 10290033 is 33009201.

It can be written as a sum of positive squares in 4 ways, for example, as 1361889 + 8928144 = 1167^2 + 2988^2 .

It is not a de Polignac number, because 10290033 - 2¹⁰ = 10289009 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10289988 and 10290015.

It is not an unprimeable number, because it can be changed into a prime (10290073) 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, 3141 + ... + 5517.

Almost surely, 2^10290033 is an apocalyptic number.

10290033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10290033 is a deficient number, since it is larger than the sum of its proper divisors (6156215).

10290033 is a wasteful number, since it uses less digits than its factorization.

10290033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 10290033 is about 3207.8081301724. The cubic root of 10290033 is about 217.5065079305.

Adding to 10290033 its reverse (33009201), we get a palindrome (43299234).

The spelling of 10290033 in words is "ten million, two hundred ninety thousand, thirty-three".