26984 has 8 divisors (see below), whose sum is σ = 50610. Its totient is φ = 13488.

The previous prime is 26981. The next prime is 26987. The reversal of 26984 is 48962.

It is an interprime number because it is at equal distance from previous prime (26981) and next prime (26987).

It can be written as a sum of positive squares in only one way, i.e., 14884 + 12100 = 122^2 + 110^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 26984.

It is not an unprimeable number, because it can be changed into a prime (26981) 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, 1679 + ... + 1694.

2²⁶⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

26984 is a deficient number, since it is larger than the sum of its proper divisors (23626).

26984 is a wasteful number, since it uses less digits than its factorization.

26984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3375 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 26984 is about 164.2680735870. The cubic root of 26984 is about 29.9940729031.

It can be divided in two parts, 269 and 84, that added together give a palindrome (353).

The spelling of 26984 in words is "twenty-six thousand, nine hundred eighty-four".