164007967 has 2 divisors, whose sum is σ = 164007968. Its totient is φ = 164007966.

The previous prime is 164007953. The next prime is 164007973. The reversal of 164007967 is 769700461.

It is a strong prime.

It is an emirp because it is prime and its reverse (769700461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164007967 - 2¹⁵ = 163975199 is a prime.

It is a super-2 number, since 2×164007967² = 53797226478946178, which contains 22 as substring.

It is equal to p_9186664 and since 164007967 and 9186664 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164007947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82003983 + 82003984.

It is an arithmetic number, because the mean of its divisors is an integer number (82003984).

Almost surely, 2^164007967 is an apocalyptic number.

164007967 is a deficient number, since it is larger than the sum of its proper divisors (1).

164007967 is an equidigital number, since it uses as much as digits as its factorization.

164007967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 164007967 is about 12806.5595301783. The cubic root of 164007967 is about 547.3792309536.

The spelling of 164007967 in words is "one hundred sixty-four million, seven thousand, nine hundred sixty-seven".