4000967 has 8 divisors (see below), whose sum is σ = 4309200. Its totient is φ = 3700864.

The previous prime is 4000957. The next prime is 4000979. The reversal of 4000967 is 7690004.

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 4000967 - 2⁴ = 4000951 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000907) 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, 992 + ... + 2997.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 2^4000967 is an apocalyptic number.

4000967 is a deficient number, since it is larger than the sum of its proper divisors (308233).

4000967 is a wasteful number, since it uses less digits than its factorization.

4000967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065.

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

The square root of 4000967 is about 2000.2417353910. The cubic root of 4000967 is about 158.7528959730.

The spelling of 4000967 in words is "four million, nine hundred sixty-seven", and thus it is an aban number.