5006961 has 16 divisors (see below), whose sum is σ = 7600320. Its totient is φ = 3255840.

The previous prime is 5006929. The next prime is 5006971. The reversal of 5006961 is 1696005.

It is not a de Polignac number, because 5006961 - 2⁵ = 5006929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5006971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1155 + ... + 3368.

It is an arithmetic number, because the mean of its divisors is an integer number (475020).

Almost surely, 2^5006961 is an apocalyptic number.

It is an amenable number.

5006961 is a deficient number, since it is larger than the sum of its proper divisors (2593359).

5006961 is a wasteful number, since it uses less digits than its factorization.

5006961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 5006961 is about 2237.6239630465. The cubic root of 5006961 is about 171.0769121542.

The spelling of 5006961 in words is "five million, six thousand, nine hundred sixty-one".