4024 has 8 divisors (see below), whose sum is σ = 7560. Its totient is φ = 2008.

The previous prime is 4021. The next prime is 4027. The reversal of 4024 is 4204.

It is an interprime number because it is at equal distance from previous prime (4021) and next prime (4027).

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (10) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 4024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 244 + ... + 259.

It is an arithmetic number, because the mean of its divisors is an integer number (945).

It is an amenable number.

4024 is a deficient number, since it is larger than the sum of its proper divisors (3536).

4024 is a wasteful number, since it uses less digits than its factorization.

4024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 4024 is about 63.4350061086. The cubic root of 4024 is about 15.9056952555.

Adding to 4024 its reverse (4204), we get a palindrome (8228).

It can be divided in two parts, 402 and 4, that added together give a triangular number (406 = T₂₈).

The spelling of 4024 in words is "four thousand, twenty-four", and thus it is an iban number.