1038241 has 8 divisors (see below), whose sum is σ = 1109160. Its totient is φ = 968448.

The previous prime is 1038227. The next prime is 1038251. The reversal of 1038241 is 1428301.

1038241 = 720² + 721².

It can be written as a sum of positive squares in 4 ways, for example, as 87616 + 950625 = 296^2 + 975^2 .

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 1038241 - 2⁵ = 1038209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1038211) 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, 2475 + ... + 2863.

It is an arithmetic number, because the mean of its divisors is an integer number (138645).

2^1038241 is an apocalyptic number.

1038241 is the 721-st centered square number.

It is an amenable number.

1038241 is a deficient number, since it is larger than the sum of its proper divisors (70919).

1038241 is a wasteful number, since it uses less digits than its factorization.

1038241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1038241 is about 1018.9411170426. The cubic root of 1038241 is about 101.2587880397.

The spelling of 1038241 in words is "one million, thirty-eight thousand, two hundred forty-one".