26286129 has 9 divisors (see below), whose sum is σ = 37991083. Its totient is φ = 17513832.

The previous prime is 26286121. The next prime is 26286137. The reversal of 26286129 is 92168262.

It is a happy number.

The square root of 26286129 is 5127.

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

26286129 is a `hidden beast` number, since 2 + 628 + 6 + 1 + 29 = 666.

It is an interprime number because it is at equal distance from previous prime (26286121) and next prime (26286137).

It can be written as a sum of positive squares in only one way, i.e., 4941729 + 21344400 = 2223^2 + 4620^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 26286129 - 2³ = 26286121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 26286093 and 26286102.

It is not an unprimeable number, because it can be changed into a prime (26286121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14527 + ... + 16235.

Almost surely, 2^26286129 is an apocalyptic number.

26286129 is the 5127-th square number.

26286129 is the 2564-th centered octagonal number.

It is an amenable number.

26286129 is a deficient number, since it is larger than the sum of its proper divisors (11704954).

26286129 is an frugal number, since it uses more digits than its factorization.

26286129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 1712 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The cubic root of 26286129 is about 297.3323830408.

Multiplying 26286129 by its sum of digits (36), we get a square (946300644 = 30762²).

Multiplying 26286129 by its product of digits (20736), we get a square (545069170944 = 738288²).

The spelling of 26286129 in words is "twenty-six million, two hundred eighty-six thousand, one hundred twenty-nine".