537813 has 8 divisors (see below), whose sum is σ = 796800. Its totient is φ = 358524.

The previous prime is 537811. The next prime is 537841. The reversal of 537813 is 318735.

It is not a de Polignac number, because 537813 - 2¹ = 537811 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 19919 = 537813 / (5 + 3 + 7 + 8 + 1 + 3).

It is a nialpdrome in base 14 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537811) 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, 9933 + ... + 9986.

It is an arithmetic number, because the mean of its divisors is an integer number (99600).

537813 is a Friedman number, since it can be written as (7*(3-1))^5-8-3, using all its digits and the basic arithmetic operations.

2⁵³⁷⁸¹³ is an apocalyptic number.

It is an amenable number.

537813 is a deficient number, since it is larger than the sum of its proper divisors (258987).

537813 is a wasteful number, since it uses less digits than its factorization.

537813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19928 (or 19922 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 537813 is about 733.3573480916. The cubic root of 537813 is about 81.3224458388.

The spelling of 537813 in words is "five hundred thirty-seven thousand, eight hundred thirteen".