10017813 has 12 divisors (see below), whose sum is σ = 14464320. Its totient is φ = 6164496.

The previous prime is 10017809. The next prime is 10017823. The reversal of 10017813 is 31871001.

It is not a de Polignac number, because 10017813 - 2² = 10017809 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10017813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10017803) 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 11 ways as a sum of consecutive naturals, for example, 9373 + ... + 10386.

It is an arithmetic number, because the mean of its divisors is an integer number (1205360).

Almost surely, 2^10017813 is an apocalyptic number.

10017813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10017813 is a deficient number, since it is larger than the sum of its proper divisors (4446507).

10017813 is a wasteful number, since it uses less digits than its factorization.

10017813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19788 (or 19775 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 10017813 is about 3165.0928896322. The cubic root of 10017813 is about 215.5713162722.

Adding to 10017813 its reverse (31871001), we get a palindrome (41888814).

The spelling of 10017813 in words is "ten million, seventeen thousand, eight hundred thirteen".