1007975705 has 16 divisors (see below), whose sum is σ = 1321636608. Its totient is φ = 731904000.

The previous prime is 1007975681. The next prime is 1007975729. The reversal of 1007975705 is 5075797001.

1007975705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1007975681) and next prime (1007975729).

It is a de Polignac number, because none of the positive numbers 2^k-1007975705 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20960 + ... + 49550.

It is an arithmetic number, because the mean of its divisors is an integer number (82602288).

Almost surely, 2^1007975705 is an apocalyptic number.

It is an amenable number.

1007975705 is a deficient number, since it is larger than the sum of its proper divisors (313660903).

1007975705 is a wasteful number, since it uses less digits than its factorization.

1007975705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29248.

The product of its (nonzero) digits is 77175, while the sum is 41.

The square root of 1007975705 is about 31748.6331201833. The cubic root of 1007975705 is about 1002.6515315001.

The spelling of 1007975705 in words is "one billion, seven million, nine hundred seventy-five thousand, seven hundred five".