537305 has 8 divisors (see below), whose sum is σ = 660744. Its totient is φ = 419200.

The previous prime is 537287. The next prime is 537307. The reversal of 537305 is 503735.

It can be written as a sum of positive squares in 4 ways, for example, as 24649 + 512656 = 157^2 + 716^2 .

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

It is not a de Polignac number, because 537305 - 2⁶ = 537241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (537307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1106 + ... + 1515.

It is an arithmetic number, because the mean of its divisors is an integer number (82593).

2⁵³⁷³⁰⁵ is an apocalyptic number.

It is an amenable number.

537305 is a deficient number, since it is larger than the sum of its proper divisors (123439).

537305 is a wasteful number, since it uses less digits than its factorization.

537305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667.

The product of its (nonzero) digits is 1575, while the sum is 23.

The square root of 537305 is about 733.0109139706. The cubic root of 537305 is about 81.2968329606.

It can be divided in two parts, 53730 and 5, that added together give a palindrome (53735).

The spelling of 537305 in words is "five hundred thirty-seven thousand, three hundred five".