537536 has 28 divisors (see below), whose sum is σ = 1100328. Its totient is φ = 260352.

The previous prime is 537527. The next prime is 537547. The reversal of 537536 is 635735.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 537499 and 537508.

It is a congruent number.

It is an unprimeable number.

537536 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 3 ways as a sum of consecutive naturals, for example, 2255 + ... + 2481.

2⁵³⁷⁵³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550164).

537536 is an abundant number, since it is smaller than the sum of its proper divisors (562792).

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

537536 is a wasteful number, since it uses less digits than its factorization.

537536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its digits is 9450, while the sum is 29.

The square root of 537536 is about 733.1684663159. The cubic root of 537536 is about 81.3084817620.

The spelling of 537536 in words is "five hundred thirty-seven thousand, five hundred thirty-six".