400067 has 2 divisors, whose sum is σ = 400068. Its totient is φ = 400066.

The previous prime is 400051. The next prime is 400069. The reversal of 400067 is 760004.

400067 is nontrivially palindromic in base 2.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 400067 - 2⁴ = 400051 is a prime.

Together with 400069, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (400069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200033 + 200034.

It is an arithmetic number, because the mean of its divisors is an integer number (200034).

2⁴⁰⁰⁰⁶⁷ is an apocalyptic number.

400067 is a deficient number, since it is larger than the sum of its proper divisors (1).

400067 is an equidigital number, since it uses as much as digits as its factorization.

400067 is an odious number, because the sum of its binary digits is odd.

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

The square root of 400067 is about 632.5084979666. The cubic root of 400067 is about 73.6847435783.

The spelling of 400067 in words is "four hundred thousand, sixty-seven".