167128993 has 2 divisors, whose sum is σ = 167128994. Its totient is φ = 167128992.

The previous prime is 167128961. The next prime is 167128999. The reversal of 167128993 is 399821761.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123476544 + 43652449 = 11112^2 + 6607^2 .

It is an emirp because it is prime and its reverse (399821761) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 167128993 - 2⁵ = 167128961 is a prime.

It is not a weakly prime, because it can be changed into another prime (167128999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83564496 + 83564497.

It is an arithmetic number, because the mean of its divisors is an integer number (83564497).

Almost surely, 2^167128993 is an apocalyptic number.

It is an amenable number.

167128993 is a deficient number, since it is larger than the sum of its proper divisors (1).

167128993 is an equidigital number, since it uses as much as digits as its factorization.

167128993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 163296, while the sum is 46.

The square root of 167128993 is about 12927.8379089467. The cubic root of 167128993 is about 550.8295943305.

The spelling of 167128993 in words is "one hundred sixty-seven million, one hundred twenty-eight thousand, nine hundred ninety-three".