4029 has 8 divisors (see below), whose sum is σ = 5760. Its totient is φ = 2496.

The previous prime is 4027. The next prime is 4049. The reversal of 4029 is 9204.

4029 = 17² + 18² + ... + 25².

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4029 - 2¹ = 4027 is a prime.

It is a Curzon number.

It is a plaindrome in base 13 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 3999 and 4017.

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 in 7 ways as a sum of consecutive naturals, for example, 12 + ... + 90.

It is an arithmetic number, because the mean of its divisors is an integer number (720).

2⁴⁰²⁹ is an apocalyptic number.

It is an amenable number.

4029 is a deficient number, since it is larger than the sum of its proper divisors (1731).

4029 is a wasteful number, since it uses less digits than its factorization.

4029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4029 is about 63.4744042902. The cubic root of 4029 is about 15.9122803748.

The spelling of 4029 in words is "four thousand, twenty-nine".