538100 has 18 divisors (see below), whose sum is σ = 1167894. Its totient is φ = 215200.

The previous prime is 538093. The next prime is 538117. The reversal of 538100 is 1835.

538100 = T₁₂₁ + T₁₂₂ + ... + T₁₇₀.

538100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 13924 + 524176 = 118^2 + 724^2 .

It is a super-2 number, since 2×538100² = 579103220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

538100 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 5 ways as a sum of consecutive naturals, for example, 2591 + ... + 2790.

It is an arithmetic number, because the mean of its divisors is an integer number (64883).

2⁵³⁸¹⁰⁰ is an apocalyptic number.

538100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

538100 is an abundant number, since it is smaller than the sum of its proper divisors (629794).

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

538100 is a wasteful number, since it uses less digits than its factorization.

538100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5395 (or 5388 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 538100 is about 733.5529974037. The cubic root of 538100 is about 81.3369089771.

Adding to 538100 its reverse (1835), we get a palindrome (539935).

The spelling of 538100 in words is "five hundred thirty-eight thousand, one hundred".