541167 has 24 divisors (see below), whose sum is σ = 849408. Its totient is φ = 303600.

The previous prime is 541153. The next prime is 541181. The reversal of 541167 is 761145.

541167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (541153) and next prime (541181).

It is not a de Polignac number, because 541167 - 2¹² = 537071 is a prime.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17442 + ... + 17472.

It is an arithmetic number, because the mean of its divisors is an integer number (35392).

2⁵⁴¹¹⁶⁷ is an apocalyptic number.

541167 is a deficient number, since it is larger than the sum of its proper divisors (308241).

541167 is a wasteful number, since it uses less digits than its factorization.

541167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 68 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 541167 is about 735.6405372191. The cubic root of 541167 is about 81.4911478712.

It can be divided in two parts, 54 and 1167, that added together give a palindrome (1221).

The spelling of 541167 in words is "five hundred forty-one thousand, one hundred sixty-seven".