167000993 has 2 divisors, whose sum is σ = 167000994. Its totient is φ = 167000992.

The previous prime is 167000969. The next prime is 167001049. The reversal of 167000993 is 399000761.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 152078224 + 14922769 = 12332^2 + 3863^2 .

It is a cyclic number.

It is not a de Polignac number, because 167000993 - 2⁶ = 167000929 is a prime.

It is equal to p_9344591 and since 167000993 and 9344591 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (167000963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83500496 + 83500497.

It is an arithmetic number, because the mean of its divisors is an integer number (83500497).

Almost surely, 2^167000993 is an apocalyptic number.

It is an amenable number.

167000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

167000993 is an equidigital number, since it uses as much as digits as its factorization.

167000993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 35.

The square root of 167000993 is about 12922.8864035865. The cubic root of 167000993 is about 550.6889361197.

The spelling of 167000993 in words is "one hundred sixty-seven million, nine hundred ninety-three", and thus it is an aban number.