40967 has 4 divisors (see below), whose sum is σ = 41616. Its totient is φ = 40320.

The previous prime is 40961. The next prime is 40973. The reversal of 40967 is 76904.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (40961) and next prime (40973).

It is a cyclic number.

It is not a de Polignac number, because 40967 - 2⁶ = 40903 is a prime.

It is a Duffinian number.

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 40967.

It is not an unprimeable number, because it can be changed into a prime (40961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 218 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (10404).

2⁴⁰⁹⁶⁷ is an apocalyptic number.

40967 is a deficient number, since it is larger than the sum of its proper divisors (649).

40967 is an equidigital number, since it uses as much as digits as its factorization.

40967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 40967 is about 202.4030632179. The cubic root of 40967 is about 34.4729186061.

Subtracting 40967 from its reverse (76904), we obtain a cube (35937 = 33³).

The spelling of 40967 in words is "forty thousand, nine hundred sixty-seven".