167745 has 16 divisors (see below), whose sum is σ = 274752. Its totient is φ = 87360.

The previous prime is 167729. The next prime is 167747. The reversal of 167745 is 547761.

It is a happy number.

167745 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 167745 - 2⁴ = 167729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (167747) 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, 690 + ... + 900.

It is an arithmetic number, because the mean of its divisors is an integer number (17172).

2¹⁶⁷⁷⁴⁵ is an apocalyptic number.

167745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

167745 is a deficient number, since it is larger than the sum of its proper divisors (107007).

167745 is a wasteful number, since it uses less digits than its factorization.

167745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272.

The product of its digits is 5880, while the sum is 30.

The square root of 167745 is about 409.5668443612. The cubic root of 167745 is about 55.1505517056.

The spelling of 167745 in words is "one hundred sixty-seven thousand, seven hundred forty-five".