537873 has 12 divisors (see below), whose sum is σ = 834480. Its totient is φ = 307272.

The previous prime is 537853. The next prime is 537877. The reversal of 537873 is 378735.

It is not a de Polignac number, because 537873 - 2⁵ = 537841 is a prime.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (537877) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1683 + ... + 1976.

It is an arithmetic number, because the mean of its divisors is an integer number (69540).

537873 is a Friedman number, since it can be written as 7*7+(8+3+3)^5, using all its digits and the basic arithmetic operations.

2⁵³⁷⁸⁷³ is an apocalyptic number.

It is an amenable number.

537873 is a deficient number, since it is larger than the sum of its proper divisors (296607).

537873 is a wasteful number, since it uses less digits than its factorization.

537873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 3669 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 537873 is about 733.3982547020. The cubic root of 537873 is about 81.3254699167.

The spelling of 537873 in words is "five hundred thirty-seven thousand, eight hundred seventy-three".