26001 has 12 divisors (see below), whose sum is σ = 39312. Its totient is φ = 17172.

The previous prime is 25999. The next prime is 26003. The reversal of 26001 is 10062.

It is an interprime number because it is at equal distance from previous prime (25999) and next prime (26003).

It is not a de Polignac number, because 26001 - 2¹ = 25999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 26001.

It is not an unprimeable number, because it can be changed into a prime (26003) 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 in 11 ways as a sum of consecutive naturals, for example, 190 + ... + 296.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

2²⁶⁰⁰¹ is an apocalyptic number.

26001 is the 81-st decagonal number.

It is an amenable number.

26001 is a deficient number, since it is larger than the sum of its proper divisors (13311).

26001 is an equidigital number, since it uses as much as digits as its factorization.

26001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 26001 is about 161.2482558045. The cubic root of 26001 is about 29.6253404864.

Adding to 26001 its reverse (10062), we get a palindrome (36063).

It can be divided in two parts, 2600 and 1, that added together give a square (2601 = 51²).

The spelling of 26001 in words is "twenty-six thousand, one".