167921 has 4 divisors (see below), whose sum is σ = 180852. Its totient is φ = 154992.

The previous prime is 167917. The next prime is 167953. The reversal of 167921 is 129761.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 55696 + 112225 = 236^2 + 335^2 .

It is a cyclic number.

It is not a de Polignac number, because 167921 - 2² = 167917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 167921.

It is not an unprimeable number, because it can be changed into a prime (167911) 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, 6446 + ... + 6471.

It is an arithmetic number, because the mean of its divisors is an integer number (45213).

2¹⁶⁷⁹²¹ is an apocalyptic number.

It is an amenable number.

167921 is a deficient number, since it is larger than the sum of its proper divisors (12931).

167921 is a wasteful number, since it uses less digits than its factorization.

167921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12930.

The product of its digits is 756, while the sum is 26.

The square root of 167921 is about 409.7816491743. The cubic root of 167921 is about 55.1698331632.

It can be divided in two parts, 16 and 7921, that multiplied together give a square (126736 = 356²).

The spelling of 167921 in words is "one hundred sixty-seven thousand, nine hundred twenty-one".