2917971 has 16 divisors (see below), whose sum is σ = 4940800. Its totient is φ = 1667304.

The previous prime is 2917969. The next prime is 2917973. The reversal of 2917971 is 1797192.

It is an interprime number because it is at equal distance from previous prime (2917969) and next prime (2917973).

It is not a de Polignac number, because 2917971 - 2¹ = 2917969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2917973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7531 + ... + 7908.

It is an arithmetic number, because the mean of its divisors is an integer number (308800).

2^2917971 is an apocalyptic number.

2917971 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2917971 is a deficient number, since it is larger than the sum of its proper divisors (2022829).

2917971 is a wasteful number, since it uses less digits than its factorization.

2917971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15455 (or 15449 counting only the distinct ones).

The product of its digits is 7938, while the sum is 36.

The square root of 2917971 is about 1708.2069546750. The cubic root of 2917971 is about 142.8982763932.

The spelling of 2917971 in words is "two million, nine hundred seventeen thousand, nine hundred seventy-one".