1034 has 8 divisors (see below), whose sum is σ = 1728. Its totient is φ = 460.

The previous prime is 1033. The next prime is 1039. The reversal of 1034 is 4301.

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

It is a d-powerful number, because it can be written as 1 + 3² + 0 + 4⁵ .

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a plaindrome in base 9 and base 15.

It is a nialpdrome in base 6, base 11 and base 12.

It is not an unprimeable number, because it can be changed into a prime (1031) 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 3 ways as a sum of consecutive naturals, for example, 2 + ... + 45.

It is an arithmetic number, because the mean of its divisors is an integer number (216).

1034 is a deficient number, since it is larger than the sum of its proper divisors (694).

1034 is a wasteful number, since it uses less digits than its factorization.

1034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60.

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 1034 is about 32.1558703816. The cubic root of 1034 is about 10.1120726140.

Adding to 1034 its reverse (4301), we get a palindrome (5335).

It can be divided in two parts, 10 and 34, that added together give a palindrome (44).

The spelling of 1034 in words is "one thousand, thirty-four".