47968005 has 32 divisors (see below), whose sum is σ = 81100800. Its totient is φ = 24171840.

The previous prime is 47967977. The next prime is 47968009. The reversal of 47968005 is 50086974.

It is not a de Polignac number, because 47968005 - 2⁵ = 47967973 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47968009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18796 + ... + 21194.

It is an arithmetic number, because the mean of its divisors is an integer number (2534400).

Almost surely, 2^47968005 is an apocalyptic number.

47968005 is the 3999-th octagonal number.

It is an amenable number.

47968005 is a deficient number, since it is larger than the sum of its proper divisors (33132795).

47968005 is a wasteful number, since it uses less digits than its factorization.

47968005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481.

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 47968005 is about 6925.8938051345. The cubic root of 47968005 is about 363.3433523222.

The spelling of 47968005 in words is "forty-seven million, nine hundred sixty-eight thousand, five".