2005963 has 8 divisors (see below), whose sum is σ = 2142720. Its totient is φ = 1872360.

The previous prime is 2005957. The next prime is 2005981. The reversal of 2005963 is 3695002.

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 2005963 - 2⁵ = 2005931 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005903) 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, 606 + ... + 2092.

It is an arithmetic number, because the mean of its divisors is an integer number (267840).

2^2005963 is an apocalyptic number.

2005963 is a deficient number, since it is larger than the sum of its proper divisors (136757).

2005963 is a wasteful number, since it uses less digits than its factorization.

2005963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 2005963 is about 1416.3202321509. The cubic root of 2005963 is about 126.1171959059.

The spelling of 2005963 in words is "two million, five thousand, nine hundred sixty-three".