167667 has 4 divisors (see below), whose sum is σ = 223560. Its totient is φ = 111776.

The previous prime is 167663. The next prime is 167677. The reversal of 167667 is 766761.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 766761 = 3 ⋅255587.

It is a cyclic number.

It is not a de Polignac number, because 167667 - 2² = 167663 is a prime.

It is a super-2 number, since 2×167667² = 56224445778, which contains 22 as substring.

It is a D-number.

It is not an unprimeable number, because it can be changed into a prime (167663) 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 3 ways as a sum of consecutive naturals, for example, 27942 + ... + 27947.

It is an arithmetic number, because the mean of its divisors is an integer number (55890).

2¹⁶⁷⁶⁶⁷ is an apocalyptic number.

167667 is a deficient number, since it is larger than the sum of its proper divisors (55893).

167667 is an equidigital number, since it uses as much as digits as its factorization.

167667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55892.

The product of its digits is 10584, while the sum is 33.

The square root of 167667 is about 409.4716107375. The cubic root of 167667 is about 55.1420022009.

The spelling of 167667 in words is "one hundred sixty-seven thousand, six hundred sixty-seven".