4990167 has 40 divisors (see below), whose sum is σ = 9188256. Its totient is φ = 2628288.

The previous prime is 4990157. The next prime is 4990177. The reversal of 4990167 is 7610994.

4990167 is a `hidden beast` number, since 499 + 0 + 167 = 666.

It is an interprime number because it is at equal distance from previous prime (4990157) and next prime (4990177).

It is not a de Polignac number, because 4990167 - 2¹¹ = 4988119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4990157) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 7033 + ... + 7709.

Almost surely, 2^4990167 is an apocalyptic number.

4990167 is a deficient number, since it is larger than the sum of its proper divisors (4198089).

4990167 is a wasteful number, since it uses less digits than its factorization.

4990167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 4990167 is about 2233.8681697898. The cubic root of 4990167 is about 170.8854264823.

The spelling of 4990167 in words is "four million, nine hundred ninety thousand, one hundred sixty-seven".