2971667169 has 27 divisors (see below), whose sum is σ = 4463907123. Its totient is φ = 1978167744.

The previous prime is 2971667159. The next prime is 2971667189. The reversal of 2971667169 is 9617661792.

The square root of 2971667169 is 54513.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 972504225 + 1999162944 = 31185^2 + 44712^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 2971667169 - 2²⁹ = 2434796257 is a prime.

It is a super-2 number, since 2×2971667169² = 17661611526624949122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2971667159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4415217 + ... + 4415889.

Almost surely, 2^2971667169 is an apocalyptic number.

2971667169 is the 54513-rd square number.

2971667169 is the 27257-th centered octagonal number.

It is an amenable number.

2971667169 is a deficient number, since it is larger than the sum of its proper divisors (1492239954).

2971667169 is an frugal number, since it uses more digits than its factorization.

2971667169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 676 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 54.

The cubic root of 2971667169 is about 1437.6948666288.

The spelling of 2971667169 in words is "two billion, nine hundred seventy-one million, six hundred sixty-seven thousand, one hundred sixty-nine".