164000407 has 2 divisors, whose sum is σ = 164000408. Its totient is φ = 164000406.

The previous prime is 164000359. The next prime is 164000429. The reversal of 164000407 is 704000461.

It is an a-pointer prime, because the next prime (164000429) can be obtained adding 164000407 to its sum of digits (22).

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164000407 is a prime.

It is a super-2 number, since 2×164000407² = 53792266992331298, which contains 22 as substring.

164000407 is a modest number, since divided by 407 gives 164 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164000107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82000203 + 82000204.

It is an arithmetic number, because the mean of its divisors is an integer number (82000204).

Almost surely, 2^164000407 is an apocalyptic number.

164000407 is a deficient number, since it is larger than the sum of its proper divisors (1).

164000407 is an equidigital number, since it uses as much as digits as its factorization.

164000407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 164000407 is about 12806.2643655361. The cubic root of 164000407 is about 547.3708202838.

Adding to 164000407 its reverse (704000461), we get a palindrome (868000868).

The spelling of 164000407 in words is "one hundred sixty-four million, four hundred seven", and thus it is an aban number.