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10691 is a prime number
BaseRepresentation
bin10100111000011
3112122222
42213003
5320231
6121255
743112
oct24703
915588
1010691
11803a
12622b
134b35
143c79
15327b
hex29c3

10691 has 2 divisors, whose sum is σ = 10692. Its totient is φ = 10690.

The previous prime is 10687. The next prime is 10709. The reversal of 10691 is 19601.

10691 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10691 - 22 = 10687 is a prime.

It is a super-2 number, since 2×106912 = 228594962, which contains 22 as substring.

It is a Sophie Germain prime.

It is an Ulam number.

It is a plaindrome in base 9.

It is not a weakly prime, because it can be changed into another prime (10601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5345 + 5346.

It is an arithmetic number, because the mean of its divisors is an integer number (5346).

210691 is an apocalyptic number.

10691 is a deficient number, since it is larger than the sum of its proper divisors (1).

10691 is an equidigital number, since it uses as much as digits as its factorization.

10691 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 10691 is about 103.3972920342. The cubic root of 10691 is about 22.0295745503.

The spelling of 10691 in words is "ten thousand, six hundred ninety-one".