2617561 has 8 divisors (see below), whose sum is σ = 2770560. Its totient is φ = 2467872.

The previous prime is 2617553. The next prime is 2617567. The reversal of 2617561 is 1657162.

It is the 661-st star number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2617561 - 2³ = 2617553 is a prime.

It is a Duffinian number.

2617561 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2617567) 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 7 ways as a sum of consecutive naturals, for example, 900 + ... + 2458.

It is an arithmetic number, because the mean of its divisors is an integer number (346320).

2^2617561 is an apocalyptic number.

It is an amenable number.

2617561 is a deficient number, since it is larger than the sum of its proper divisors (152999).

2617561 is a wasteful number, since it uses less digits than its factorization.

2617561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655.

The product of its digits is 2520, while the sum is 28.

The square root of 2617561 is about 1617.8878205858. The cubic root of 2617561 is about 137.8157767246.

The spelling of 2617561 in words is "two million, six hundred seventeen thousand, five hundred sixty-one".