4967007 has 8 divisors (see below), whose sum is σ = 6763776. Its totient is φ = 3240792.

The previous prime is 4966979. The next prime is 4967023. The reversal of 4967007 is 7007694.

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

It is not a de Polignac number, because 4967007 - 2¹² = 4962911 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4967087) 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, 17473 + ... + 17754.

It is an arithmetic number, because the mean of its divisors is an integer number (845472).

Almost surely, 2^4967007 is an apocalyptic number.

4967007 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

4967007 is a deficient number, since it is larger than the sum of its proper divisors (1796769).

4967007 is a wasteful number, since it uses less digits than its factorization.

4967007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35277.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 4967007 is about 2228.6783078767. The cubic root of 4967007 is about 170.6206494349.

It can be divided in two parts, 496 and 7007, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 4967007 in words is "four million, nine hundred sixty-seven thousand, seven".