2005653 has 8 divisors (see below), whose sum is σ = 2879968. Its totient is φ = 1234224.

The previous prime is 2005613. The next prime is 2005667. The reversal of 2005653 is 3565002.

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

It is not a de Polignac number, because 2005653 - 2⁸ = 2005397 is a prime.

2005653 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25675 + ... + 25752.

It is an arithmetic number, because the mean of its divisors is an integer number (359996).

2^2005653 is an apocalyptic number.

It is an amenable number.

2005653 is a deficient number, since it is larger than the sum of its proper divisors (874315).

2005653 is a wasteful number, since it uses less digits than its factorization.

2005653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51443.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 2005653 is about 1416.2107893954. The cubic root of 2005653 is about 126.1106988859.

The spelling of 2005653 in words is "two million, five thousand, six hundred fifty-three".