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26265 = 3517103

26265 has 16 divisors (see below), whose sum is σ = 44928. Its totient is φ = 13056.

The previous prime is 26263. The next prime is 26267. The reversal of 26265 is 56262.

26265 = 312 + 322 + ... + 472.

26265 is nontrivially palindromic in base 4.

It is an interprime number because it is at equal distance from previous prime (26263) and next prime (26267).

It is not a de Polignac number, because 26265 - 21 = 26263 is a prime.

It is a plaindrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204 + ... + 306.

It is an arithmetic number, because the mean of its divisors is an integer number (2808).

226265 is an apocalyptic number.

It is an amenable number.

26265 is a deficient number, since it is larger than the sum of its proper divisors (18663).

26265 is a wasteful number, since it uses less digits than its factorization.

26265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128.

The product of its digits is 720, while the sum is 21.

The square root of 26265 is about 162.0648018541. The cubic root of 26265 is about 29.7252695639.

Subtracting from 26265 its sum of digits (21), we obtain a square (26244 = 1622).

The spelling of 26265 in words is "twenty-six thousand, two hundred sixty-five".

Divisors: 1 3 5 15 17 51 85 103 255 309 515 1545 1751 5253 8755 26265