1007673967 has 8 divisors (see below), whose sum is σ = 1019387600. Its totient is φ = 996024384.

The previous prime is 1007673943. The next prime is 1007673971. The reversal of 1007673967 is 7693767001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1007673967 - 2⁷ = 1007673839 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 (1007673977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16003 + ... + 47659.

It is an arithmetic number, because the mean of its divisors is an integer number (127423450).

Almost surely, 2^1007673967 is an apocalyptic number.

1007673967 is a deficient number, since it is larger than the sum of its proper divisors (11713633).

1007673967 is a wasteful number, since it uses less digits than its factorization.

1007673967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32025.

The product of its (nonzero) digits is 333396, while the sum is 46.

The square root of 1007673967 is about 31743.8807803961. The cubic root of 1007673967 is about 1002.5514734465.

The spelling of 1007673967 in words is "one billion, seven million, six hundred seventy-three thousand, nine hundred sixty-seven".