800537 has 2 divisors, whose sum is σ = 800538. Its totient is φ = 800536.

The previous prime is 800533. The next prime is 800539. The reversal of 800537 is 735008.

800537 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., 491401 + 309136 = 701^2 + 556^2 .

It is a cyclic number.

It is not a de Polignac number, because 800537 - 2² = 800533 is a prime.

Together with 800539, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (800533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400268 + 400269.

It is an arithmetic number, because the mean of its divisors is an integer number (400269).

2⁸⁰⁰⁵³⁷ is an apocalyptic number.

It is an amenable number.

800537 is a deficient number, since it is larger than the sum of its proper divisors (1).

800537 is an equidigital number, since it uses as much as digits as its factorization.

800537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 800537 is about 894.7273327668. The cubic root of 800537 is about 92.8525431365.

The spelling of 800537 in words is "eight hundred thousand, five hundred thirty-seven".