10009791 has 16 divisors (see below), whose sum is σ = 16177920. Its totient is φ = 6066360.

The previous prime is 10009777. The next prime is 10009799. The reversal of 10009791 is 19790001.

10009791 = 664² + 665² + ... + 685².

10009791 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10009791 - 2¹⁴ = 9993407 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009799) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16555 + ... + 17148.

It is an arithmetic number, because the mean of its divisors is an integer number (1011120).

Almost surely, 2^10009791 is an apocalyptic number.

10009791 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10009791 is a deficient number, since it is larger than the sum of its proper divisors (6168129).

10009791 is a wasteful number, since it uses less digits than its factorization.

10009791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33723 (or 33717 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 27.

The square root of 10009791 is about 3163.8253744478. The cubic root of 10009791 is about 215.5137596345.

Adding to 10009791 its reverse (19790001), we get a palindrome (29799792).

The spelling of 10009791 in words is "ten million, nine thousand, seven hundred ninety-one".