537865 has 8 divisors (see below), whose sum is σ = 652680. Its totient is φ = 425472.

The previous prime is 537853. The next prime is 537877. The reversal of 537865 is 568735.

537865 = 21² + 22² + ... + 117².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (537853) and next prime (537877).

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 537289 = 24^2 + 733^2 .

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 537865 - 2¹³ = 529673 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 537865.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 1039.

It is an arithmetic number, because the mean of its divisors is an integer number (81585).

2⁵³⁷⁸⁶⁵ is an apocalyptic number.

It is an amenable number.

537865 is a deficient number, since it is larger than the sum of its proper divisors (114815).

537865 is a wasteful number, since it uses less digits than its factorization.

537865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211.

The product of its digits is 25200, while the sum is 34.

The square root of 537865 is about 733.3928006191. The cubic root of 537865 is about 81.3250667193.

The spelling of 537865 in words is "five hundred thirty-seven thousand, eight hundred sixty-five".