10029 has 4 divisors (see below), whose sum is σ = 13376. Its totient is φ = 6684.

The previous prime is 10009. The next prime is 10037. The reversal of 10029 is 92001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 10029 - 2⁷ = 9901 is a prime.

It is a D-number.

It is a Duffinian number.

It is a plaindrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 9996 and 10023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009) 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, 1669 + ... + 1674.

It is an arithmetic number, because the mean of its divisors is an integer number (3344).

2¹⁰⁰²⁹ is an apocalyptic number.

It is an amenable number.

10029 is a deficient number, since it is larger than the sum of its proper divisors (3347).

10029 is an equidigital number, since it uses as much as digits as its factorization.

10029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 10029 is about 100.1448950272. The cubic root of 10029 is about 21.5651530027.

Subtracting from 10029 its product of nonzero digits (18), we obtain a triangular number (10011 = T₁₄₁).

The spelling of 10029 in words is "ten thousand, twenty-nine".