2712609 has 21 divisors (see below), whose sum is σ = 4134819. Its totient is φ = 1778760.

The previous prime is 2712587. The next prime is 2712613. The reversal of 2712609 is 9062172.

The square root of 2712609 is 1647.

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., 88209 + 2624400 = 297^2 + 1620^2 .

It is not a de Polignac number, because 2712609 - 2⁷ = 2712481 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2712659) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 44439 + ... + 44499.

2^2712609 is an apocalyptic number.

2712609 is the 1647-th square number.

2712609 is the 824-th centered octagonal number.

It is an amenable number.

2712609 is a deficient number, since it is larger than the sum of its proper divisors (1422210).

2712609 is an frugal number, since it uses more digits than its factorization.

2712609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The cubic root of 2712609 is about 139.4640906531.

It can be divided in two parts, 2712 and 609, that added together give a triangular number (3321 = T₈₁).

The spelling of 2712609 in words is "two million, seven hundred twelve thousand, six hundred nine".