26401 has 4 divisors (see below), whose sum is σ = 27972. Its totient is φ = 24832.

The previous prime is 26399. The next prime is 26407. The reversal of 26401 is 10462.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10462 = 2 ⋅5231.

It can be written as a sum of positive squares in 2 ways, for example, as 11025 + 15376 = 105^2 + 124^2 .

It is a cyclic number.

It is not a de Polignac number, because 26401 - 2¹ = 26399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26407) 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 3 ways as a sum of consecutive naturals, for example, 760 + ... + 793.

It is an arithmetic number, because the mean of its divisors is an integer number (6993).

2²⁶⁴⁰¹ is an apocalyptic number.

It is an amenable number.

26401 is a deficient number, since it is larger than the sum of its proper divisors (1571).

26401 is a wasteful number, since it uses less digits than its factorization.

26401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 26401 is about 162.4838453509. The cubic root of 26401 is about 29.7764870153.

Adding to 26401 its reverse (10462), we get a palindrome (36863).

The spelling of 26401 in words is "twenty-six thousand, four hundred one".