26575 has 6 divisors (see below), whose sum is σ = 32984. Its totient is φ = 21240.

The previous prime is 26573. The next prime is 26591. The reversal of 26575 is 57562.

It is a happy number.

It is not a de Polignac number, because 26575 - 2¹ = 26573 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 1063 = 26575 / (2 + 6 + 5 + 7 + 5).

It is a Duffinian number.

It is a plaindrome in base 12 and base 16.

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 507 + ... + 556.

2²⁶⁵⁷⁵ is an apocalyptic number.

26575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26575 is a deficient number, since it is larger than the sum of its proper divisors (6409).

26575 is a wasteful number, since it uses less digits than its factorization.

26575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1068 counting only the distinct ones).

The product of its digits is 2100, while the sum is 25.

The square root of 26575 is about 163.0184038690. The cubic root of 26575 is about 29.8417593904.

It can be divided in two parts, 2657 and 5, that added together give a palindrome (2662).

The spelling of 26575 in words is "twenty-six thousand, five hundred seventy-five".