164038961 has 2 divisors, whose sum is σ = 164038962. Its totient is φ = 164038960.

The previous prime is 164038873. The next prime is 164039041. The reversal of 164038961 is 169830461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159390625 + 4648336 = 12625^2 + 2156^2 .

It is a cyclic number.

It is not a de Polignac number, because 164038961 - 2¹⁴ = 164022577 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (164038361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82019480 + 82019481.

It is an arithmetic number, because the mean of its divisors is an integer number (82019481).

Almost surely, 2^164038961 is an apocalyptic number.

It is an amenable number.

164038961 is a deficient number, since it is larger than the sum of its proper divisors (1).

164038961 is an equidigital number, since it uses as much as digits as its factorization.

164038961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 164038961 is about 12807.7695560156. The cubic root of 164038961 is about 547.4137097732.

The spelling of 164038961 in words is "one hundred sixty-four million, thirty-eight thousand, nine hundred sixty-one".