4957667 has 16 divisors (see below), whose sum is σ = 5988192. Its totient is φ = 4043520.

The previous prime is 4957663. The next prime is 4957691. The reversal of 4957667 is 7667594.

It is not a de Polignac number, because 4957667 - 2² = 4957663 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4957663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4823 + ... + 5759.

It is an arithmetic number, because the mean of its divisors is an integer number (374262).

Almost surely, 2^4957667 is an apocalyptic number.

4957667 is a deficient number, since it is larger than the sum of its proper divisors (1030525).

4957667 is a wasteful number, since it uses less digits than its factorization.

4957667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998.

The product of its digits is 317520, while the sum is 44.

The square root of 4957667 is about 2226.5819095645. The cubic root of 4957667 is about 170.5136368496.

The spelling of 4957667 in words is "four million, nine hundred fifty-seven thousand, six hundred sixty-seven".