26838001 has 8 divisors (see below), whose sum is σ = 27135944. Its totient is φ = 26542080.

The previous prime is 26837999. The next prime is 26838011. The reversal of 26838001 is 10083862.

It can be written as a sum of positive squares in 4 ways, for example, as 12215025 + 14622976 = 3495^2 + 3824^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 4-Lehmer number, since φ(26838001) divides (26838001-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 26838001 - 2¹ = 26837999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26838011) 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 7 ways as a sum of consecutive naturals, for example, 46225 + ... + 46801.

It is an arithmetic number, because the mean of its divisors is an integer number (3391993).

Almost surely, 2^26838001 is an apocalyptic number.

It is an amenable number.

26838001 is a deficient number, since it is larger than the sum of its proper divisors (297943).

26838001 is a wasteful number, since it uses less digits than its factorization.

26838001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 26838001 is about 5180.5406088554. The cubic root of 26838001 is about 299.3987997025.

The spelling of 26838001 in words is "twenty-six million, eight hundred thirty-eight thousand, one".