1067961167 has 16 divisors (see below), whose sum is σ = 1322496000. Its totient is φ = 839784672.

The previous prime is 1067961157. The next prime is 1067961179. The reversal of 1067961167 is 7611697601.

It is a cyclic number.

It is not a de Polignac number, because 1067961167 - 2¹⁴ = 1067944783 is a prime.

It is a super-3 number, since 3×1067961167³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1067961137) 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, 21167 + ... + 50832.

It is an arithmetic number, because the mean of its divisors is an integer number (82656000).

Almost surely, 2^1067961167 is an apocalyptic number.

1067961167 is a deficient number, since it is larger than the sum of its proper divisors (254534833).

1067961167 is a wasteful number, since it uses less digits than its factorization.

1067961167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72182.

The product of its (nonzero) digits is 95256, while the sum is 44.

The square root of 1067961167 is about 32679.6751360842. The cubic root of 1067961167 is about 1022.1590710230.

The spelling of 1067961167 in words is "one billion, sixty-seven million, nine hundred sixty-one thousand, one hundred sixty-seven".