2004961 has 8 divisors (see below), whose sum is σ = 2345024. Its totient is φ = 1678320.

The previous prime is 2004953. The next prime is 2004983. The reversal of 2004961 is 1694002.

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

It is not a de Polignac number, because 2004961 - 2³ = 2004953 is a prime.

It is a super-2 number, since 2×2004961² = 8039737223042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2004901) 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, 3030 + ... + 3631.

It is an arithmetic number, because the mean of its divisors is an integer number (293128).

2^2004961 is an apocalyptic number.

It is an amenable number.

2004961 is a deficient number, since it is larger than the sum of its proper divisors (340063).

2004961 is an equidigital number, since it uses as much as digits as its factorization.

2004961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6711.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2004961 is about 1415.9664544049. The cubic root of 2004961 is about 126.0961934452.

Adding to 2004961 its reverse (1694002), we get a palindrome (3698963).

The spelling of 2004961 in words is "two million, four thousand, nine hundred sixty-one".