167801 has 2 divisors, whose sum is σ = 167802. Its totient is φ = 167800.

The previous prime is 167779. The next prime is 167809. The reversal of 167801 is 108761.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89401 + 78400 = 299^2 + 280^2 .

It is an emirp because it is prime and its reverse (108761) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-167801 is a prime.

It is a Chen prime.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (167809) 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 as a sum of consecutive naturals, namely, 83900 + 83901.

It is an arithmetic number, because the mean of its divisors is an integer number (83901).

2¹⁶⁷⁸⁰¹ is an apocalyptic number.

It is an amenable number.

167801 is a deficient number, since it is larger than the sum of its proper divisors (1).

167801 is an equidigital number, since it uses as much as digits as its factorization.

167801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 167801 is about 409.6352035653. The cubic root of 167801 is about 55.1566881771.

The spelling of 167801 in words is "one hundred sixty-seven thousand, eight hundred one".