126826409 has 8 divisors (see below), whose sum is σ = 134421768. Its totient is φ = 119246080.

The previous prime is 126826397. The next prime is 126826421. The reversal of 126826409 is 904628621.

It is an interprime number because it is at equal distance from previous prime (126826397) and next prime (126826421).

It can be written as a sum of positive squares in 4 ways, for example, as 66064384 + 60762025 = 8128^2 + 7795^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 126826409 - 2¹⁶ = 126760873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126826429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16919 + ... + 23235.

It is an arithmetic number, because the mean of its divisors is an integer number (16802721).

Almost surely, 2^126826409 is an apocalyptic number.

It is an amenable number.

126826409 is a deficient number, since it is larger than the sum of its proper divisors (7595359).

126826409 is a wasteful number, since it uses less digits than its factorization.

126826409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7515.

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 126826409 is about 11261.7231807570. The cubic root of 126826409 is about 502.4234468334.

It can be divided in two parts, 12682 and 6409, that added together give a palindrome (19091).

The spelling of 126826409 in words is "one hundred twenty-six million, eight hundred twenty-six thousand, four hundred nine".