1004034031 has 32 divisors (see below), whose sum is σ = 1361558016. Its totient is φ = 714960000.

The previous prime is 1004034029. The next prime is 1004034077. The reversal of 1004034031 is 1304304001.

It is a cyclic number.

It is not a de Polignac number, because 1004034031 - 2¹ = 1004034029 is a prime.

It is a super-2 number, since 2×1004034031² = 2016168670812217922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1004033996 and 1004034014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004034001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96136 + ... + 106066.

It is an arithmetic number, because the mean of its divisors is an integer number (42548688).

Almost surely, 2^1004034031 is an apocalyptic number.

1004034031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1004034031 is a deficient number, since it is larger than the sum of its proper divisors (357523985).

1004034031 is a wasteful number, since it uses less digits than its factorization.

1004034031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10063.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1004034031 is about 31686.4960353776. The cubic root of 1004034031 is about 1001.3428728852.

Adding to 1004034031 its reverse (1304304001), we get a palindrome (2308338032).

The spelling of 1004034031 in words is "one billion, four million, thirty-four thousand, thirty-one".