2005953 has 8 divisors (see below), whose sum is σ = 2682048. Its totient is φ = 1333584.

The previous prime is 2005943. The next prime is 2005957. The reversal of 2005953 is 3595002.

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

It is not a de Polignac number, because 2005953 - 2⁴ = 2005937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2005957) 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, 775 + ... + 2147.

It is an arithmetic number, because the mean of its divisors is an integer number (335256).

2^2005953 is an apocalyptic number.

It is an amenable number.

2005953 is a deficient number, since it is larger than the sum of its proper divisors (676095).

2005953 is a wasteful number, since it uses less digits than its factorization.

2005953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 2005953 is about 1416.3167018714. The cubic root of 2005953 is about 126.1169863350.

The spelling of 2005953 in words is "two million, five thousand, nine hundred fifty-three".