167312 has 10 divisors (see below), whose sum is σ = 324198. Its totient is φ = 83648.

The previous prime is 167311. The next prime is 167317. The reversal of 167312 is 213761.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 163216 + 4096 = 404^2 + 64^2 .

It is not an unprimeable number, because it can be changed into a prime (167311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5213 + ... + 5244.

2¹⁶⁷³¹² is an apocalyptic number.

It is an amenable number.

167312 is a deficient number, since it is larger than the sum of its proper divisors (156886).

167312 is a wasteful number, since it uses less digits than its factorization.

167312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10465 (or 10459 counting only the distinct ones).

The product of its digits is 252, while the sum is 20.

The square root of 167312 is about 409.0378955549. The cubic root of 167312 is about 55.1030574619.

The spelling of 167312 in words is "one hundred sixty-seven thousand, three hundred twelve".