41667 has 16 divisors (see below), whose sum is σ = 63360. Its totient is φ = 24192.

The previous prime is 41659. The next prime is 41669. The reversal of 41667 is 76614.

41667 is nontrivially palindromic in base 5 and base 9.

41667 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 41667 - 2³ = 41659 is a prime.

It is a super-2 number, since 2×41667² = 3472277778, which contains 22 as substring.

It is an Ulam number.

41667 is an undulating number in base 7.

41667 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (41669) 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 15 ways as a sum of consecutive naturals, for example, 948 + ... + 990.

It is an arithmetic number, because the mean of its divisors is an integer number (3960).

2⁴¹⁶⁶⁷ is an apocalyptic number.

41667 is a deficient number, since it is larger than the sum of its proper divisors (21693).

41667 is a wasteful number, since it uses less digits than its factorization.

41667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82.

The product of its digits is 1008, while the sum is 24.

The square root of 41667 is about 204.1249617269. The cubic root of 41667 is about 34.6681561655.

It can be divided in two parts, 416 and 67, that multiplied together give a palindrome (27872).

The spelling of 41667 in words is "forty-one thousand, six hundred sixty-seven".