10582009 has 3 divisors (see below), whose sum is σ = 10585263. Its totient is φ = 10578756.

The previous prime is 10581959. The next prime is 10582043. The reversal of 10582009 is 90028501.

The square root of 10582009 is 3253.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 90028501 = 9049 ⋅9949.

It can be written as a sum of positive squares in only one way, i.e., 10530025 + 51984 = 3245^2 + 228^2 .

It is not a de Polignac number, because 10582009 - 2¹⁵ = 10549241 is a prime.

It is a super-2 number, since 2×10582009² = 223957828952162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10582079) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1627 + ... + 4879.

It is an arithmetic number, because the mean of its divisors is an integer number (3528421).

Almost surely, 2^10582009 is an apocalyptic number.

10582009 is the 3253-rd square number.

10582009 is the 1627-th centered octagonal number.

It is an amenable number.

10582009 is a deficient number, since it is larger than the sum of its proper divisors (3254).

10582009 is an frugal number, since it uses more digits than its factorization.

10582009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6506 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The cubic root of 10582009 is about 219.5445743955.

Multiplying 10582009 by its sum of digits (25), we get a square (264550225 = 16265²).

The spelling of 10582009 in words is "ten million, five hundred eighty-two thousand, nine".