537805 has 8 divisors (see below), whose sum is σ = 667800. Its totient is φ = 415296.

The previous prime is 537793. The next prime is 537811. The reversal of 537805 is 508735.

It can be written as a sum of positive squares in 4 ways, for example, as 23716 + 514089 = 154^2 + 717^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 537805 - 2⁵ = 537773 is a prime.

537805 is a lucky number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1710 + ... + 1999.

It is an arithmetic number, because the mean of its divisors is an integer number (83475).

2⁵³⁷⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

537805 is a deficient number, since it is larger than the sum of its proper divisors (129995).

537805 is a wasteful number, since it uses less digits than its factorization.

537805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 537805 is about 733.3518937045. The cubic root of 537805 is about 81.3220426114.

The spelling of 537805 in words is "five hundred thirty-seven thousand, eight hundred five".