10582133 has 2 divisors, whose sum is σ = 10582134. Its totient is φ = 10582132.

The previous prime is 10582081. The next prime is 10582151. The reversal of 10582133 is 33128501.

10582133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10195249 + 386884 = 3193^2 + 622^2 .

It is a cyclic number.

It is not a de Polignac number, because 10582133 - 2¹⁸ = 10319989 is a prime.

It is a super-2 number, since 2×10582133² = 223963077659378, which contains 22 as substring.

It is a Chen prime.

It is equal to p₇₀₀₆₈₂ and since 10582133 and 700682 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 10582099 and 10582108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10582163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5291066 + 5291067.

It is an arithmetic number, because the mean of its divisors is an integer number (5291067).

Almost surely, 2^10582133 is an apocalyptic number.

It is an amenable number.

10582133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10582133 is an equidigital number, since it uses as much as digits as its factorization.

10582133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 10582133 is about 3253.0190592740. The cubic root of 10582133 is about 219.5454319334.

The spelling of 10582133 in words is "ten million, five hundred eighty-two thousand, one hundred thirty-three".