537936 has 40 divisors (see below), whose sum is σ = 1589184. Its totient is φ = 153600.

The previous prime is 537919. The next prime is 537941. The reversal of 537936 is 639735.

It is a junction number, because it is equal to n+sod(n) for n = 537897 and 537906.

It is a congruent number.

It is an unprimeable number.

537936 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 465 + ... + 1136.

2⁵³⁷⁹³⁶ is an apocalyptic number.

537936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

537936 is an abundant number, since it is smaller than the sum of its proper divisors (1051248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

537936 is a wasteful number, since it uses less digits than its factorization.

537936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1613 counting only the distinct ones).

The product of its digits is 17010, while the sum is 33.

The square root of 537936 is about 733.4412041875. The cubic root of 537936 is about 81.3286449565.

The spelling of 537936 in words is "five hundred thirty-seven thousand, nine hundred thirty-six".