538356 has 96 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 129024.

The previous prime is 538333. The next prime is 538357. The reversal of 538356 is 653835.

538356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 5 + 3⁸ + 3¹² + 8 + 5³ + 6³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538357) by changing a digit.

538356 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18550 + ... + 18578.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2⁵³⁸³⁵⁶ 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 538356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

538356 is an abundant number, since it is smaller than the sum of its proper divisors (1155084).

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

538356 is a wasteful number, since it uses less digits than its factorization.

538356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 71 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 538356 is about 733.7274698415. The cubic root of 538356 is about 81.3498055562.

The spelling of 538356 in words is "five hundred thirty-eight thousand, three hundred fifty-six".