2705167161 has 48 divisors (see below), whose sum is σ = 4172351040. Its totient is φ = 1684126080.

The previous prime is 2705167151. The next prime is 2705167163. The reversal of 2705167161 is 1617615072.

2705167161 is a `hidden beast` number, since 2 + 70 + 516 + 71 + 6 + 1 = 666.

2705167161 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2705167161 - 2⁶ = 2705167097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2705167163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4412691 + ... + 4413303.

It is an arithmetic number, because the mean of its divisors is an integer number (86923980).

Almost surely, 2^2705167161 is an apocalyptic number.

It is an amenable number.

2705167161 is a deficient number, since it is larger than the sum of its proper divisors (1467183879).

2705167161 is a wasteful number, since it uses less digits than its factorization.

2705167161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 2705167161 is about 52011.2214911359. The cubic root of 2705167161 is about 1393.3643742783.

The spelling of 2705167161 in words is "two billion, seven hundred five million, one hundred sixty-seven thousand, one hundred sixty-one".