26801329 has 9 divisors (see below), whose sum is σ = 27860601. Its totient is φ = 25781460.

The previous prime is 26801323. The next prime is 26801347. The reversal of 26801329 is 92310862.

The square root of 26801329 is 5177.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 26801329 - 2⁵ = 26801297 is a prime.

It is a super-2 number, since 2×26801329² = 1436622472332482, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 26801329.

It is not an unprimeable number, because it can be changed into a prime (26801323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 160404 + ... + 160570.

Almost surely, 2^26801329 is an apocalyptic number.

26801329 is the 5177-th square number.

26801329 is the 2589-th centered octagonal number.

It is an amenable number.

26801329 is a deficient number, since it is larger than the sum of its proper divisors (1059272).

26801329 is an frugal number, since it uses more digits than its factorization.

26801329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The cubic root of 26801329 is about 299.2623693045.

Multiplying 26801329 by its product of nonzero digits (5184), we get a square (138938089536 = 372744²).

The spelling of 26801329 in words is "twenty-six million, eight hundred one thousand, three hundred twenty-nine".