167908961 has 8 divisors (see below), whose sum is σ = 183592224. Its totient is φ = 152295520.

The previous prime is 167908943. The next prime is 167908963. The reversal of 167908961 is 169809761.

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 167908961 - 2¹⁰ = 167907937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (167908963) 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, 12356 + ... + 22101.

It is an arithmetic number, because the mean of its divisors is an integer number (22949028).

Almost surely, 2^167908961 is an apocalyptic number.

167908961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

167908961 is a deficient number, since it is larger than the sum of its proper divisors (15683263).

167908961 is a wasteful number, since it uses less digits than its factorization.

167908961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34911.

The product of its (nonzero) digits is 163296, while the sum is 47.

The square root of 167908961 is about 12957.9690152431. The cubic root of 167908961 is about 551.6851467519.

The spelling of 167908961 in words is "one hundred sixty-seven million, nine hundred eight thousand, nine hundred sixty-one".