1007971893 has 6 divisors (see below), whose sum is σ = 1455959414. Its totient is φ = 671981256.

The previous prime is 1007971891. The next prime is 1007971897. The reversal of 1007971893 is 3981797001.

1007971893 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1002482244 + 5489649 = 31662^2 + 2343^2 .

It is not a de Polignac number, because 1007971893 - 2¹ = 1007971891 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007971891) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55998430 + ... + 55998447.

Almost surely, 2^1007971893 is an apocalyptic number.

It is an amenable number.

1007971893 is a deficient number, since it is larger than the sum of its proper divisors (447987521).

1007971893 is a wasteful number, since it uses less digits than its factorization.

1007971893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111996883 (or 111996880 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The square root of 1007971893 is about 31748.5730860459. The cubic root of 1007971893 is about 1002.6502675435.

The spelling of 1007971893 in words is "one billion, seven million, nine hundred seventy-one thousand, eight hundred ninety-three".