47364 has 12 divisors (see below), whose sum is σ = 110544. Its totient is φ = 15784.

The previous prime is 47363. The next prime is 47381. The reversal of 47364 is 46374.

It is a tau number, because it is divible by the number of its divisors (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47364.

It is not an unprimeable number, because it can be changed into a prime (47363) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1962 + ... + 1985.

It is an arithmetic number, because the mean of its divisors is an integer number (9212).

2⁴⁷³⁶⁴ is an apocalyptic number.

It is an amenable number.

47364 is an abundant number, since it is smaller than the sum of its proper divisors (63180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55272).

47364 is a wasteful number, since it uses less digits than its factorization.

47364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3952 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 47364 is about 217.6327181285. The cubic root of 47364 is about 36.1811853431.

Subtracting from 47364 its reverse (46374), we obtain a triangular number (990 = T₄₄).

The spelling of 47364 in words is "forty-seven thousand, three hundred sixty-four".