10061 has 2 divisors, whose sum is σ = 10062. Its totient is φ = 10060.

The previous prime is 10039. The next prime is 10067. The reversal of 10061 is 16001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8836 + 1225 = 94^2 + 35^2 .

It is an emirp because it is prime and its reverse (16001) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 19001 and 10091.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10061 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10067) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5030 + 5031.

It is an arithmetic number, because the mean of its divisors is an integer number (5031).

2¹⁰⁰⁶¹ is an apocalyptic number.

It is an amenable number.

10061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10061 is an equidigital number, since it uses as much as digits as its factorization.

10061 is an evil number, because the sum of its binary digits is even.

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

The square root of 10061 is about 100.3045362882. The cubic root of 10061 is about 21.5880649658.

Adding to 10061 its reverse (16001), we get a palindrome (26062).

It can be divided in two parts, 100 and 61, that added together give a palindrome (161).

The spelling of 10061 in words is "ten thousand, sixty-one".