10584131 has 2 divisors, whose sum is σ = 10584132. Its totient is φ = 10584130.

The previous prime is 10584127. The next prime is 10584137. The reversal of 10584131 is 13148501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10584131 - 2² = 10584127 is a prime.

It is a super-2 number, since 2×10584131² = 224047658050322, which contains 22 as substring.

It is a Chen prime.

It is equal to p₇₀₀₈₀₈ and since 10584131 and 700808 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 = 10584097 and 10584106.

It is not a weakly prime, because it can be changed into another prime (10584137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5292065 + 5292066.

It is an arithmetic number, because the mean of its divisors is an integer number (5292066).

Almost surely, 2^10584131 is an apocalyptic number.

10584131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10584131 is an equidigital number, since it uses as much as digits as its factorization.

10584131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 10584131 is about 3253.3261441177. The cubic root of 10584131 is about 219.5592484348.

The spelling of 10584131 in words is "ten million, five hundred eighty-four thousand, one hundred thirty-one".