42967 has 2 divisors, whose sum is σ = 42968. Its totient is φ = 42966.

The previous prime is 42961. The next prime is 42979. The reversal of 42967 is 76924.

42967 is nontrivially palindromic in base 5.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 42967 - 2⁷ = 42839 is a prime.

It is a Chen prime.

It is an Ulam number.

42967 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42961) 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 as a sum of consecutive naturals, namely, 21483 + 21484.

It is an arithmetic number, because the mean of its divisors is an integer number (21484).

2⁴²⁹⁶⁷ is an apocalyptic number.

42967 is a deficient number, since it is larger than the sum of its proper divisors (1).

42967 is an equidigital number, since it uses as much as digits as its factorization.

42967 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 28.

The square root of 42967 is about 207.2848281954. The cubic root of 42967 is about 35.0250161292.

It can be divided in two parts, 429 and 67, that added together give a triangular number (496 = T₃₁).

The spelling of 42967 in words is "forty-two thousand, nine hundred sixty-seven".