2112561 has 20 divisors (see below), whose sum is σ = 3444144. Its totient is φ = 1279800.

The previous prime is 2112541. The next prime is 2112569. The reversal of 2112561 is 1652112.

It is not a de Polignac number, because 2112561 - 2¹⁹ = 1588273 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

2112561 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2112569) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 295 + ... + 2076.

2^2112561 is an apocalyptic number.

It is an amenable number.

2112561 is a deficient number, since it is larger than the sum of its proper divisors (1331583).

2112561 is a wasteful number, since it uses less digits than its factorization.

2112561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2385 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 2112561 is about 1453.4651698613. The cubic root of 2112561 is about 128.3127322116.

Adding to 2112561 its reverse (1652112), we get a palindrome (3764673).

It can be divided in two parts, 211 and 2561, that added together give a palindrome (2772).

The spelling of 2112561 in words is "two million, one hundred twelve thousand, five hundred sixty-one".