2007164141 has 2 divisors, whose sum is σ = 2007164142. Its totient is φ = 2007164140.

The previous prime is 2007164083. The next prime is 2007164147. The reversal of 2007164141 is 1414617002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1595682916 + 411481225 = 39946^2 + 20285^2 .

It is a cyclic number.

It is not a de Polignac number, because 2007164141 - 2¹⁰ = 2007163117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2007164141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2007164147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1003582070 + 1003582071.

It is an arithmetic number, because the mean of its divisors is an integer number (1003582071).

Almost surely, 2^2007164141 is an apocalyptic number.

It is an amenable number.

2007164141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2007164141 is an equidigital number, since it uses as much as digits as its factorization.

2007164141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 2007164141 is about 44801.3854808085. The cubic root of 2007164141 is about 1261.4236325432.

The spelling of 2007164141 in words is "two billion, seven million, one hundred sixty-four thousand, one hundred forty-one".