164000461 has 2 divisors, whose sum is σ = 164000462. Its totient is φ = 164000460.

The previous prime is 164000449. The next prime is 164000483.

164000461 is nontrivially palindromic in base 10.

It is an a-pointer prime, because the next prime (164000483) can be obtained adding 164000461 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 160503561 + 3496900 = 12669^2 + 1870^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 164000461 - 2⁵ = 164000429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164003461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82000230 + 82000231.

It is an arithmetic number, because the mean of its divisors is an integer number (82000231).

Almost surely, 2^164000461 is an apocalyptic number.

It is an amenable number.

164000461 is a deficient number, since it is larger than the sum of its proper divisors (1).

164000461 is an equidigital number, since it uses as much as digits as its factorization.

164000461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 164000461 is about 12806.2664738791. The cubic root of 164000461 is about 547.3708803609.

It can be divided in two parts, 164000 and 461, that added together give a palindrome (164461).

The spelling of 164000461 in words is "one hundred sixty-four million, four hundred sixty-one", and thus it is an aban number.