26701 has 2 divisors, whose sum is σ = 26702. Its totient is φ = 26700.

The previous prime is 26699. The next prime is 26711. The reversal of 26701 is 10762.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16900 + 9801 = 130^2 + 99^2 .

It is a cyclic number.

It is not a de Polignac number, because 26701 - 2¹ = 26699 is a prime.

Together with 26699, it forms a pair of twin primes.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (26711) 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, 13350 + 13351.

It is an arithmetic number, because the mean of its divisors is an integer number (13351).

2²⁶⁷⁰¹ is an apocalyptic number.

It is an amenable number.

26701 is a deficient number, since it is larger than the sum of its proper divisors (1).

26701 is an equidigital number, since it uses as much as digits as its factorization.

26701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 26701 is about 163.4044063053. The cubic root of 26701 is about 29.8888479419. Note that the first 4 decimals are identical.

It can be divided in two parts, 26 and 701, that added together give a palindrome (727).

The spelling of 26701 in words is "twenty-six thousand, seven hundred one".