10409617 has 8 divisors (see below), whose sum is σ = 10734696. Its totient is φ = 10086912.

The previous prime is 10409573. The next prime is 10409621. The reversal of 10409617 is 71690401.

It can be written as a sum of positive squares in 4 ways, for example, as 2989441 + 7420176 = 1729^2 + 2724^2 .

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 10409617 - 2¹⁹ = 9885329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10409647) 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, 12663 + ... + 13459.

It is an arithmetic number, because the mean of its divisors is an integer number (1341837).

Almost surely, 2^10409617 is an apocalyptic number.

It is an amenable number.

10409617 is a deficient number, since it is larger than the sum of its proper divisors (325079).

10409617 is an equidigital number, since it uses as much as digits as its factorization.

10409617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 10409617 is about 3226.3938073335. The cubic root of 10409617 is about 218.3458374570.

It can be divided in two parts, 10409 and 617, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 10409617 in words is "ten million, four hundred nine thousand, six hundred seventeen".