535104 has 42 divisors (see below), whose sum is σ = 1535430. Its totient is φ = 178176.

The previous prime is 535103. The next prime is 535123. The reversal of 535104 is 401535.

It can be written as a sum of positive squares in only one way, i.e., 304704 + 230400 = 552^2 + 480^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (535103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112 + ... + 1040.

2⁵³⁵¹⁰⁴ 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 535104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767715).

535104 is an abundant number, since it is smaller than the sum of its proper divisors (1000326).

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

535104 is a wasteful number, since it uses less digits than its factorization.

535104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 535104 is about 731.5080313982. The cubic root of 535104 is about 81.1856737407.

Adding to 535104 its reverse (401535), we get a palindrome (936639).

The spelling of 535104 in words is "five hundred thirty-five thousand, one hundred four".