47601 has 16 divisors (see below), whose sum is σ = 73920. Its totient is φ = 30240.

The previous prime is 47599. The next prime is 47609. The reversal of 47601 is 10674.

It is not a de Polignac number, because 47601 - 2¹ = 47599 is a prime.

It is a Curzon number.

It is a plaindrome in base 12 and base 13.

It is not an unprimeable number, because it can be changed into a prime (47609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1086 + ... + 1128.

It is an arithmetic number, because the mean of its divisors is an integer number (4620).

2⁴⁷⁶⁰¹ is an apocalyptic number.

47601 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

47601 is a deficient number, since it is larger than the sum of its proper divisors (26319).

47601 is a wasteful number, since it uses less digits than its factorization.

47601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 47601 is about 218.1765340269. The cubic root of 47601 is about 36.2414327752.

It can be divided in two parts, 4760 and 1, that added together give a square (4761 = 69²).

The spelling of 47601 in words is "forty-seven thousand, six hundred one".