541905 has 32 divisors (see below), whose sum is σ = 1069824. Its totient is φ = 228096.

The previous prime is 541901. The next prime is 541927. The reversal of 541905 is 509145.

It is not a de Polignac number, because 541905 - 2² = 541901 is a prime.

It is a super-2 number, since 2×541905² = 587322058050, which contains 22 as substring.

541905 is a lucky number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541901) 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 31 ways as a sum of consecutive naturals, for example, 1167 + ... + 1563.

It is an arithmetic number, because the mean of its divisors is an integer number (33432).

2⁵⁴¹⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

541905 is a deficient number, since it is larger than the sum of its proper divisors (527919).

541905 is a wasteful number, since it uses less digits than its factorization.

541905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 541905 is about 736.1419700031. The cubic root of 541905 is about 81.5281747345.

The spelling of 541905 in words is "five hundred forty-one thousand, nine hundred five".