26274 has 16 divisors (see below), whose sum is σ = 54720. Its totient is φ = 8400.

The previous prime is 26267. The next prime is 26293. The reversal of 26274 is 47262.

Added to its reverse (47262) it gives a triangular number (73536 = T_{383}).

It is a happy number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 26274.

It is an unprimeable number.

26274 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 7 ways as a sum of consecutive naturals, for example, 99 + ... + 249.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

2^{26274} is an apocalyptic number.

26274 is the 87-th nonagonal number.

26274 is an abundant number, since it is smaller than the sum of its proper divisors (28446).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27360).

26274 is a wasteful number, since it uses less digits than its factorization.

26274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185.

The product of its digits is 672, while the sum is 21.

The square root of 26274 is about 162.0925661466. The cubic root of 26274 is about 29.7286644097.

Adding to 26274 its reverse (47262), we get a triangular number (73536 = T_{383}).

It can be divided in two parts, 26 and 274, that added together give a triangular number (300 = T_{24}).

The spelling of 26274 in words is "twenty-six thousand, two hundred seventy-four".

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