26497 has 2 divisors, whose sum is σ = 26498. Its totient is φ = 26496.

The previous prime is 26489. The next prime is 26501. The reversal of 26497 is 79462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25921 + 576 = 161^2 + 24^2 .

It is a cyclic number.

It is not a de Polignac number, because 26497 - 2³ = 26489 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another 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 as a sum of consecutive naturals, namely, 13248 + 13249.

It is an arithmetic number, because the mean of its divisors is an integer number (13249).

2²⁶⁴⁹⁷ is an apocalyptic number.

It is an amenable number.

26497 is a deficient number, since it is larger than the sum of its proper divisors (1).

26497 is an equidigital number, since it uses as much as digits as its factorization.

26497 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 28.

The square root of 26497 is about 162.7789912734. The cubic root of 26497 is about 29.8125347025.

It can be divided in two parts, 264 and 97, that added together give a square (361 = 19²).

The spelling of 26497 in words is "twenty-six thousand, four hundred ninety-seven".