167967241 has 10 divisors (see below), whose sum is σ = 181994962. Its totient is φ = 155020320.

The previous prime is 167967223. The next prime is 167967251. The reversal of 167967241 is 142769761.

It can be written as a sum of positive squares in 5 ways, for example, as 117614025 + 50353216 = 10845^2 + 7096^2 .

It is not a de Polignac number, because 167967241 - 2⁷ = 167967113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (167967211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 25621 + ... + 31501.

Almost surely, 2^167967241 is an apocalyptic number.

It is an amenable number.

167967241 is a deficient number, since it is larger than the sum of its proper divisors (14027721).

167967241 is an frugal number, since it uses more digits than its factorization.

167967241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5933 (or 5894 counting only the distinct ones).

The product of its digits is 127008, while the sum is 43.

The square root of 167967241 is about 12960.2176293456. The cubic root of 167967241 is about 551.7489680253.

The spelling of 167967241 in words is "one hundred sixty-seven million, nine hundred sixty-seven thousand, two hundred forty-one".