4993767 has 24 divisors (see below), whose sum is σ = 7727616. Its totient is φ = 3096576.

The previous prime is 4993757. The next prime is 4993777. The reversal of 4993767 is 7673994.

It is an interprime number because it is at equal distance from previous prime (4993757) and next prime (4993777).

It is not a de Polignac number, because 4993767 - 2¹¹ = 4991719 is a prime.

It is a d-powerful number, because it can be written as 4⁷ + 9² + 9⁷ + 3¹¹ + 7³ + 6² + 7⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4993757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19303 + ... + 19559.

It is an arithmetic number, because the mean of its divisors is an integer number (321984).

Almost surely, 2^4993767 is an apocalyptic number.

4993767 is a deficient number, since it is larger than the sum of its proper divisors (2733849).

4993767 is a wasteful number, since it uses less digits than its factorization.

4993767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 404 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 4993767 is about 2234.6738016990. The cubic root of 4993767 is about 170.9265099209.

The spelling of 4993767 in words is "four million, nine hundred ninety-three thousand, seven hundred sixty-seven".