1007348307 has 16 divisors (see below), whose sum is σ = 1535450880. Its totient is φ = 575461152.

The previous prime is 1007348297. The next prime is 1007348333. The reversal of 1007348307 is 7038437001.

1007348307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1007348307 - 2⁴ = 1007348291 is a prime.

It is a super-2 number, since 2×1007348307² = 2029501223231532498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1007348207) 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, 134169 + ... + 141477.

It is an arithmetic number, because the mean of its divisors is an integer number (95965680).

Almost surely, 2^1007348307 is an apocalyptic number.

1007348307 is a deficient number, since it is larger than the sum of its proper divisors (528102573).

1007348307 is an equidigital number, since it uses as much as digits as its factorization.

1007348307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13882.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 1007348307 is about 31738.7508733409. The cubic root of 1007348307 is about 1002.4434603055.

The spelling of 1007348307 in words is "one billion, seven million, three hundred forty-eight thousand, three hundred seven".