541264 has 10 divisors (see below), whose sum is σ = 1048730. Its totient is φ = 270624.

The previous prime is 541249. The next prime is 541267. The reversal of 541264 is 462145.

It can be written as a sum of positive squares in only one way, i.e., 501264 + 40000 = 708^2 + 200^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541267) 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 as a sum of consecutive naturals, namely, 16899 + ... + 16930.

It is an arithmetic number, because the mean of its divisors is an integer number (104873).

2⁵⁴¹²⁶⁴ is an apocalyptic number.

It is an amenable number.

541264 is a deficient number, since it is larger than the sum of its proper divisors (507466).

541264 is a wasteful number, since it uses less digits than its factorization.

541264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33837 (or 33831 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 541264 is about 735.7064632039. The cubic root of 541264 is about 81.4960164663.

It can be divided in two parts, 5412 and 64, that added together give a square (5476 = 74²).

The spelling of 541264 in words is "five hundred forty-one thousand, two hundred sixty-four".