10791331 has 2 divisors, whose sum is σ = 10791332. Its totient is φ = 10791330.

The previous prime is 10791307. The next prime is 10791343. The reversal of 10791331 is 13319701.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10791331 - 2⁵ = 10791299 is a prime.

It is a super-3 number, since 3×10791331³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is equal to p₇₁₃₆₁₇ and since 10791331 and 713617 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 10791296 and 10791305.

It is not a weakly prime, because it can be changed into another prime (10791931) 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 as a sum of consecutive naturals, namely, 5395665 + 5395666.

It is an arithmetic number, because the mean of its divisors is an integer number (5395666).

Almost surely, 2^10791331 is an apocalyptic number.

10791331 is a deficient number, since it is larger than the sum of its proper divisors (1).

10791331 is an equidigital number, since it uses as much as digits as its factorization.

10791331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 25.

The square root of 10791331 is about 3285.0161339025. The cubic root of 10791331 is about 220.9827317370.

The spelling of 10791331 in words is "ten million, seven hundred ninety-one thousand, three hundred thirty-one".