2609971 has 32 divisors (see below), whose sum is σ = 3548160. Its totient is φ = 1862784.

The previous prime is 2609963. The next prime is 2609989. The reversal of 2609971 is 1799062.

2609971 = T₇₀ + T₇₁ + ... + T₂₅₁.

It is not a de Polignac number, because 2609971 - 2³ = 2609963 is a prime.

It is a super-3 number, since 3×2609971³ = 53336965061655016833, which contains 333 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2609911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60676 + ... + 60718.

It is an arithmetic number, because the mean of its divisors is an integer number (110880).

2^2609971 is an apocalyptic number.

2609971 is a deficient number, since it is larger than the sum of its proper divisors (938189).

2609971 is a wasteful number, since it uses less digits than its factorization.

2609971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115.

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 2609971 is about 1615.5404668407. The cubic root of 2609971 is about 137.6824421168.

The spelling of 2609971 in words is "two million, six hundred nine thousand, nine hundred seventy-one".