535830 has 32 divisors (see below), whose sum is σ = 1314144. Its totient is φ = 139776.

The previous prime is 535811. The next prime is 535849. The reversal of 535830 is 38535.

It is an interprime number because it is at equal distance from previous prime (535811) and next prime (535849).

It is a super-2 number, since 2×535830² = 574227577800, which contains 22 as substring.

It is a d-powerful number, because it can be written as 5² + 3⁵ + 8⁴ + 5² + 3¹² + 0 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 535830.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1422 + ... + 1758.

It is an arithmetic number, because the mean of its divisors is an integer number (41067).

2⁵³⁵⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657072).

535830 is an abundant number, since it is smaller than the sum of its proper divisors (778314).

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

535830 is a wasteful number, since it uses less digits than its factorization.

535830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 535830 is about 732.0040983492. The cubic root of 535830 is about 81.2223732504. Note that the first 3 decimals are identical.

The spelling of 535830 in words is "five hundred thirty-five thousand, eight hundred thirty".