1007005034 has 32 divisors (see below), whose sum is σ = 1746800640. Its totient is φ = 426468528.

The previous prime is 1007005031. The next prime is 1007005049. The reversal of 1007005034 is 4305007001.

It is a happy number.

1007005034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1007004997 and 1007005015.

It is not an unprimeable number, because it can be changed into a prime (1007005031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 968687 + ... + 969725.

It is an arithmetic number, because the mean of its divisors is an integer number (54587520).

Almost surely, 2^1007005034 is an apocalyptic number.

1007005034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1007005034 is a deficient number, since it is larger than the sum of its proper divisors (739795606).

1007005034 is a wasteful number, since it uses less digits than its factorization.

1007005034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 1007005034 is about 31733.3426225477. The cubic root of 1007005034 is about 1002.3295801754.

The spelling of 1007005034 in words is "one billion, seven million, five thousand, thirty-four".