47584001 has 2 divisors, whose sum is σ = 47584002. Its totient is φ = 47584000.

The previous prime is 47583997. The next prime is 47584007. The reversal of 47584001 is 10048574.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37503376 + 10080625 = 6124^2 + 3175^2 .

It is a cyclic number.

It is not a de Polignac number, because 47584001 - 2² = 47583997 is a prime.

It is equal to p_2864702 and since 47584001 and 2864702 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (47584007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23792000 + 23792001.

It is an arithmetic number, because the mean of its divisors is an integer number (23792001).

Almost surely, 2^47584001 is an apocalyptic number.

It is an amenable number.

47584001 is a deficient number, since it is larger than the sum of its proper divisors (1).

47584001 is an equidigital number, since it uses as much as digits as its factorization.

47584001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 47584001 is about 6898.1157572195. The cubic root of 47584001 is about 362.3711814974.

The spelling of 47584001 in words is "forty-seven million, five hundred eighty-four thousand, one".