1007280971 has 2 divisors, whose sum is σ = 1007280972. Its totient is φ = 1007280970.

The previous prime is 1007280961. The next prime is 1007280973. The reversal of 1007280971 is 1790827001.

1007280971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1007280971 - 2¹⁸ = 1007018827 is a prime.

It is a super-2 number, since 2×1007280971² = 2029229909077405682, which contains 22 as substring.

Together with 1007280973, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1007280973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503640485 + 503640486.

It is an arithmetic number, because the mean of its divisors is an integer number (503640486).

Almost surely, 2^1007280971 is an apocalyptic number.

1007280971 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007280971 is an equidigital number, since it uses as much as digits as its factorization.

1007280971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 35.

The square root of 1007280971 is about 31737.6900703249. The cubic root of 1007280971 is about 1002.4211237623.

The spelling of 1007280971 in words is "one billion, seven million, two hundred eighty thousand, nine hundred seventy-one".