40067 has 4 divisors (see below), whose sum is σ = 40560. Its totient is φ = 39576.

The previous prime is 40063. The next prime is 40087. The reversal of 40067 is 76004.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 40067 - 2² = 40063 is a prime.

It is a magnanimous number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40063) 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 3 ways as a sum of consecutive naturals, for example, 92 + ... + 297.

It is an arithmetic number, because the mean of its divisors is an integer number (10140).

2⁴⁰⁰⁶⁷ is an apocalyptic number.

40067 is a deficient number, since it is larger than the sum of its proper divisors (493).

40067 is a wasteful number, since it uses less digits than its factorization.

40067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492.

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 40067 is about 200.1674299181. The cubic root of 40067 is about 34.2186030136.

Subtracting 40067 from its reverse (76004), we obtain a cube (35937 = 33³).

The spelling of 40067 in words is "forty thousand, sixty-seven".