167953 has 2 divisors, whose sum is σ = 167954. Its totient is φ = 167952.

The previous prime is 167917. The next prime is 167971. The reversal of 167953 is 359761.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165649 + 2304 = 407^2 + 48^2 .

It is an emirp because it is prime and its reverse (359761) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 167953 - 2⁹ = 167441 is a prime.

It is a nialpdrome in base 6.

It is not a weakly prime, because it can be changed into another prime (164953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83976 + 83977.

It is an arithmetic number, because the mean of its divisors is an integer number (83977).

2¹⁶⁷⁹⁵³ is an apocalyptic number.

It is an amenable number.

167953 is a deficient number, since it is larger than the sum of its proper divisors (1).

167953 is an equidigital number, since it uses as much as digits as its factorization.

167953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5670, while the sum is 31.

The square root of 167953 is about 409.8206924986. The cubic root of 167953 is about 55.1733374351.

The spelling of 167953 in words is "one hundred sixty-seven thousand, nine hundred fifty-three".