26353 has 6 divisors (see below), whose sum is σ = 28194. Its totient is φ = 24624.

The previous prime is 26347. The next prime is 26357. The reversal of 26353 is 35362.

It can be written as a sum of positive squares in only one way, i.e., 23104 + 3249 = 152^2 + 57^2 .

It is not a de Polignac number, because 26353 - 2⁵ = 26321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 26353.

It is not an unprimeable number, because it can be changed into a prime (26357) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 325 + ... + 397.

It is an arithmetic number, because the mean of its divisors is an integer number (4699).

2²⁶³⁵³ is an apocalyptic number.

It is an amenable number.

26353 is a deficient number, since it is larger than the sum of its proper divisors (1841).

26353 is an equidigital number, since it uses as much as digits as its factorization.

26353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 92 counting only the distinct ones).

The product of its digits is 540, while the sum is 19.

The square root of 26353 is about 162.3360711610. The cubic root of 26353 is about 29.7584303957.

Subtracting 26353 from its reverse (35362), we obtain a palindrome (9009).

The spelling of 26353 in words is "twenty-six thousand, three hundred fifty-three".