4992 has 32 divisors (see below), whose sum is σ = 14280. Its totient is φ = 1536.

The previous prime is 4987. The next prime is 4993. The reversal of 4992 is 2994.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a cake number, because a cake can be divided into 4992 parts by 31 planar cuts.

Its product of digits (648) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4993) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 378 + ... + 390.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7140).

4992 is an abundant number, since it is smaller than the sum of its proper divisors (9288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4992 is a wasteful number, since it uses less digits than its factorization.

4992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 18 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 4992 is about 70.6540869306. The cubic root of 4992 is about 17.0906347268.

It can be divided in two parts, 49 and 92, that added together give a palindrome (141).

The spelling of 4992 in words is "four thousand, nine hundred ninety-two".