1029 has 8 divisors (see below), whose sum is σ = 1600. Its totient is φ = 588.

The previous prime is 1021. The next prime is 1031. The reversal of 1029 is 9201.

It is a happy number.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=7.

It is not a de Polignac number, because 1029 - 2³ = 1021 is a prime.

It is a Duffinian number.

1029 is a Rhonda number in base 6.

1029 is a lucky number.

It is a plaindrome in base 15.

It is a nialpdrome in base 6 and base 7.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144 + ... + 150.

It is an arithmetic number, because the mean of its divisors is an integer number (200).

It is an amenable number.

1029 is a deficient number, since it is larger than the sum of its proper divisors (571).

1029 is an frugal number, since it uses more digits than its factorization.

1029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24 (or 10 counting only the distinct ones).

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

The square root of 1029 is about 32.0780298647. The cubic root of 1029 is about 10.0957469922.

It can be divided in two parts, 102 and 9, that added together give a palindrome (111).

The spelling of 1029 in words is "one thousand, twenty-nine".