4967105 has 16 divisors (see below), whose sum is σ = 7003584. Its totient is φ = 3334080.

The previous prime is 4967093. The next prime is 4967117. The reversal of 4967105 is 5017694.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4967093) and next prime (4967117).

It is not a de Polignac number, because 4967105 - 2⁶ = 4967041 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 2759 + ... + 4188.

It is an arithmetic number, because the mean of its divisors is an integer number (437724).

Almost surely, 2^4967105 is an apocalyptic number.

It is an amenable number.

4967105 is a deficient number, since it is larger than the sum of its proper divisors (2036479).

4967105 is a wasteful number, since it uses less digits than its factorization.

4967105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6976.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 4967105 is about 2228.7002938933. The cubic root of 4967105 is about 170.6217715535.

The spelling of 4967105 in words is "four million, nine hundred sixty-seven thousand, one hundred five".