800585537 has 2 divisors, whose sum is σ = 800585538. Its totient is φ = 800585536.

The previous prime is 800585519. The next prime is 800585543. The reversal of 800585537 is 735585008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 748514881 + 52070656 = 27359^2 + 7216^2 .

It is a cyclic number.

It is not a de Polignac number, because 800585537 - 2⁶ = 800585473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 800585494 and 800585503.

It is not a weakly prime, because it can be changed into another prime (800585237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400292768 + 400292769.

It is an arithmetic number, because the mean of its divisors is an integer number (400292769).

Almost surely, 2^800585537 is an apocalyptic number.

It is an amenable number.

800585537 is a deficient number, since it is larger than the sum of its proper divisors (1).

800585537 is an equidigital number, since it uses as much as digits as its factorization.

800585537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168000, while the sum is 41.

The square root of 800585537 is about 28294.6202837218. The cubic root of 800585537 is about 928.5441966553.

The spelling of 800585537 in words is "eight hundred million, five hundred eighty-five thousand, five hundred thirty-seven".