10601 has 2 divisors, whose sum is σ = 10602. Its totient is φ = 10600.

The previous prime is 10597. The next prime is 10607.

10601 is nontrivially palindromic in base 10.

10601 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 can be written as a sum of positive squares in only one way, i.e., 10201 + 400 = 101^2 + 20^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 10601 - 2² = 10597 is a prime.

It is a super-2 number, since 2×10601² = 224762402, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10607) 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, 5300 + 5301.

It is an arithmetic number, because the mean of its divisors is an integer number (5301).

2¹⁰⁶⁰¹ is an apocalyptic number.

It is an amenable number.

10601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10601 is an equidigital number, since it uses as much as digits as its factorization.

10601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 10601 is about 102.9611577246. The cubic root of 10601 is about 21.9675831113.

The spelling of 10601 in words is "ten thousand, six hundred one".