541167169 has 9 divisors (see below), whose sum is σ = 555071139. Its totient is φ = 527604840.

The previous prime is 541167131. The next prime is 541167181. The reversal of 541167169 is 961761145.

The square root of 541167169 is 23263.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 215003569 + 326163600 = 14663^2 + 18060^2 .

It is not a de Polignac number, because 541167169 - 2¹⁵ = 541134401 is a prime.

It is a super-2 number, since 2×541167169² = 585723809606949122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (541167119) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1000039 + ... + 1000579.

It is an arithmetic number, because the mean of its divisors is an integer number (61674571).

Almost surely, 2^541167169 is an apocalyptic number.

541167169 is the 23263-rd square number.

541167169 is the 11632-nd centered octagonal number.

It is an amenable number.

541167169 is a deficient number, since it is larger than the sum of its proper divisors (13903970).

541167169 is an frugal number, since it uses more digits than its factorization.

541167169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 584 counting only the distinct ones).

The product of its digits is 45360, while the sum is 40.

The cubic root of 541167169 is about 814.9115635406.

The spelling of 541167169 in words is "five hundred forty-one million, one hundred sixty-seven thousand, one hundred sixty-nine".