1038249 has 6 divisors (see below), whose sum is σ = 1499706. Its totient is φ = 692160.

The previous prime is 1038227. The next prime is 1038251. The reversal of 1038249 is 9428301.

It can be written as a sum of positive squares in only one way, i.e., 1010025 + 28224 = 1005^2 + 168^2 .

It is not a de Polignac number, because 1038249 - 2¹⁵ = 1005481 is a prime.

1038249 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1038209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57672 + ... + 57689.

It is an arithmetic number, because the mean of its divisors is an integer number (249951).

2^1038249 is an apocalyptic number.

It is an amenable number.

1038249 is a deficient number, since it is larger than the sum of its proper divisors (461457).

1038249 is a wasteful number, since it uses less digits than its factorization.

1038249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115367 (or 115364 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1038249 is about 1018.9450426789. The cubic root of 1038249 is about 101.2590481169.

The spelling of 1038249 in words is "one million, thirty-eight thousand, two hundred forty-nine".