1007144667 has 12 divisors (see below), whose sum is σ = 1488596824. Its totient is φ = 655814880.

The previous prime is 1007144641. The next prime is 1007144711. The reversal of 1007144667 is 7664417001.

It is not a de Polignac number, because 1007144667 - 2¹⁶ = 1007079131 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007144627) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1300834 + ... + 1301607.

Almost surely, 2^1007144667 is an apocalyptic number.

1007144667 is a deficient number, since it is larger than the sum of its proper divisors (481452157).

1007144667 is a wasteful number, since it uses less digits than its factorization.

1007144667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602490 (or 2602487 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1007144667 is about 31735.5426454315. The cubic root of 1007144667 is about 1002.3759062655.

The spelling of 1007144667 in words is "one billion, seven million, one hundred forty-four thousand, six hundred sixty-seven".