6407167 has 8 divisors (see below), whose sum is σ = 6925520. Its totient is φ = 5892480.

The previous prime is 6407131. The next prime is 6407189. The reversal of 6407167 is 7617046.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6407167 - 2⁷ = 6407039 is a prime.

It is a Duffinian number.

6407167 is a lucky number.

It is a zygodrome in base 2 and base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6407197) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3559 + ... + 5047.

It is an arithmetic number, because the mean of its divisors is an integer number (865690).

Almost surely, 2^6407167 is an apocalyptic number.

6407167 is a deficient number, since it is larger than the sum of its proper divisors (518353).

6407167 is a wasteful number, since it uses less digits than its factorization.

6407167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 6407167 is about 2531.2382345406. The cubic root of 6407167 is about 185.7328322137.

The spelling of 6407167 in words is "six million, four hundred seven thousand, one hundred sixty-seven".