167621 has 2 divisors, whose sum is σ = 167622. Its totient is φ = 167620.

The previous prime is 167611. The next prime is 167623. The reversal of 167621 is 126761.

167621 = 289² + 290².

167621 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84100 + 83521 = 290^2 + 289^2 .

It is an emirp because it is prime and its reverse (126761) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 167621 - 2¹⁰ = 166597 is a prime.

Together with 167623, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 167621.

It is not a weakly prime, because it can be changed into another prime (167623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83810 + 83811.

It is an arithmetic number, because the mean of its divisors is an integer number (83811).

2¹⁶⁷⁶²¹ is an apocalyptic number.

167621 is the 290-th centered square number.

It is an amenable number.

167621 is a deficient number, since it is larger than the sum of its proper divisors (1).

167621 is an equidigital number, since it uses as much as digits as its factorization.

167621 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 23.

The square root of 167621 is about 409.4154369342. The cubic root of 167621 is about 55.1369589424.

The spelling of 167621 in words is "one hundred sixty-seven thousand, six hundred twenty-one".