10585537 has 2 divisors, whose sum is σ = 10585538. Its totient is φ = 10585536.

The previous prime is 10585529. The next prime is 10585541. The reversal of 10585537 is 73558501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10523536 + 62001 = 3244^2 + 249^2 .

It is a cyclic number.

It is not a de Polignac number, because 10585537 - 2³ = 10585529 is a prime.

It is a super-2 number, since 2×10585537² = 224107187156738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10535537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5292768 + 5292769.

It is an arithmetic number, because the mean of its divisors is an integer number (5292769).

Almost surely, 2^10585537 is an apocalyptic number.

It is an amenable number.

10585537 is a deficient number, since it is larger than the sum of its proper divisors (1).

10585537 is an equidigital number, since it uses as much as digits as its factorization.

10585537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21000, while the sum is 34.

The square root of 10585537 is about 3253.5422234850. The cubic root of 10585537 is about 219.5689701158.

The spelling of 10585537 in words is "ten million, five hundred eighty-five thousand, five hundred thirty-seven".