41967 has 6 divisors (see below), whose sum is σ = 60632. Its totient is φ = 27972.

The previous prime is 41959. The next prime is 41969. The reversal of 41967 is 76914.

41967 is nontrivially palindromic in base 11.

It is not a de Polignac number, because 41967 - 2³ = 41959 is a prime.

It is a super-2 number, since 2×41967² = 3522458178, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 41967.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41967.

It is not an unprimeable number, because it can be changed into a prime (41969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2323 + ... + 2340.

2⁴¹⁹⁶⁷ is an apocalyptic number.

41967 is a deficient number, since it is larger than the sum of its proper divisors (18665).

41967 is a wasteful number, since it uses less digits than its factorization.

41967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669 (or 4666 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 41967 is about 204.8584877421. The cubic root of 41967 is about 34.7511601842.

The spelling of 41967 in words is "forty-one thousand, nine hundred sixty-seven".