534100 has 54 divisors (see below), whose sum is σ = 1360590. Its totient is φ = 181440.

The previous prime is 534091. The next prime is 534101. The reversal of 534100 is 1435.

It can be written as a sum of positive squares in 3 ways, for example, as 63504 + 470596 = 252^2 + 686^2 .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534101) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 4846 + ... + 4954.

2⁵³⁴¹⁰⁰ is an apocalyptic number.

534100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680295).

534100 is an abundant number, since it is smaller than the sum of its proper divisors (826490).

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

534100 is a wasteful number, since it uses less digits than its factorization.

534100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 534100 is about 730.8214556237. The cubic root of 534100 is about 81.1348665155.

Adding to 534100 its reverse (1435), we get a palindrome (535535).

The spelling of 534100 in words is "five hundred thirty-four thousand, one hundred".