167641 has 2 divisors, whose sum is σ = 167642. Its totient is φ = 167640.

The previous prime is 167633. The next prime is 167663. The reversal of 167641 is 146761.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126025 + 41616 = 355^2 + 204^2 .

It is a cyclic number.

It is not a de Polignac number, because 167641 - 2³ = 167633 is a prime.

It is not a weakly prime, because it can be changed into another prime (167611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83820 + 83821.

It is an arithmetic number, because the mean of its divisors is an integer number (83821).

2¹⁶⁷⁶⁴¹ is an apocalyptic number.

It is an amenable number.

167641 is a deficient number, since it is larger than the sum of its proper divisors (1).

167641 is an equidigital number, since it uses as much as digits as its factorization.

167641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1008, while the sum is 25.

The square root of 167641 is about 409.4398612739. The cubic root of 167641 is about 55.1391517768.

It can be divided in two parts, 167 and 641, that added together give a palindrome (808).

The spelling of 167641 in words is "one hundred sixty-seven thousand, six hundred forty-one".