537505 has 8 divisors (see below), whose sum is σ = 649512. Its totient is φ = 427008.

The previous prime is 537497. The next prime is 537527. The reversal of 537505 is 505735.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1681 + 535824 = 41^2 + 732^2 .

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 537505 - 2³ = 537497 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 537505.

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, 687 + ... + 1243.

It is an arithmetic number, because the mean of its divisors is an integer number (81189).

2⁵³⁷⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

537505 is a deficient number, since it is larger than the sum of its proper divisors (112007).

537505 is a wasteful number, since it uses less digits than its factorization.

537505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755.

The product of its (nonzero) digits is 2625, while the sum is 25.

The square root of 537505 is about 733.1473248945. The cubic root of 537505 is about 81.3069186969.

The spelling of 537505 in words is "five hundred thirty-seven thousand, five hundred five".