1272609 has 24 divisors (see below), whose sum is σ = 2020200. Its totient is φ = 767232.

The previous prime is 1272589. The next prime is 1272617. The reversal of 1272609 is 9062721.

It can be written as a sum of positive squares in 4 ways, for example, as 225 + 1272384 = 15^2 + 1128^2 .

It is not a de Polignac number, because 1272609 - 2⁵ = 1272577 is a prime.

1272609 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1272629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8467 + ... + 8615.

It is an arithmetic number, because the mean of its divisors is an integer number (84175).

2^1272609 is an apocalyptic number.

It is an amenable number.

1272609 is a deficient number, since it is larger than the sum of its proper divisors (747591).

1272609 is a wasteful number, since it uses less digits than its factorization.

1272609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 238 counting only the distinct ones).

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

The square root of 1272609 is about 1128.0997296339. The cubic root of 1272609 is about 108.3673192515.

It can be divided in two parts, 1272 and 609, that added together give a palindrome (1881).

The spelling of 1272609 in words is "one million, two hundred seventy-two thousand, six hundred nine".