541300 has 18 divisors (see below), whose sum is σ = 1174838. Its totient is φ = 216480.

The previous prime is 541283. The next prime is 541301. The reversal of 541300 is 3145.

It can be written as a sum of positive squares in 3 ways, for example, as 5476 + 535824 = 74^2 + 732^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541301) by changing a digit.

541300 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 2607 + ... + 2806.

2⁵⁴¹³⁰⁰ is an apocalyptic number.

541300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

541300 is an abundant number, since it is smaller than the sum of its proper divisors (633538).

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

541300 is a wasteful number, since it uses less digits than its factorization.

541300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5427 (or 5420 counting only the distinct ones).

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

The square root of 541300 is about 735.7309290767. The cubic root of 541300 is about 81.4978232196.

Adding to 541300 its reverse (3145), we get a palindrome (544445).

It can be divided in two parts, 541 and 300, that added together give a square (841 = 29²).

The spelling of 541300 in words is "five hundred forty-one thousand, three hundred".