164696461 has 2 divisors, whose sum is σ = 164696462. Its totient is φ = 164696460.

The previous prime is 164696449. The next prime is 164696473.

164696461 is nontrivially palindromic in base 10.

It is a balanced prime because it is at equal distance from previous prime (164696449) and next prime (164696473).

It can be written as a sum of positive squares in only one way, i.e., 163686436 + 1010025 = 12794^2 + 1005^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 164696461 - 2⁵ = 164696429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164696431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82348230 + 82348231.

It is an arithmetic number, because the mean of its divisors is an integer number (82348231).

Almost surely, 2^164696461 is an apocalyptic number.

It is an amenable number.

164696461 is a deficient number, since it is larger than the sum of its proper divisors (1).

164696461 is an equidigital number, since it uses as much as digits as its factorization.

164696461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 186624, while the sum is 43.

The square root of 164696461 is about 12833.4119001924. The cubic root of 164696461 is about 548.1441149109.

The spelling of 164696461 in words is "one hundred sixty-four million, six hundred ninety-six thousand, four hundred sixty-one".