47361 has 4 divisors (see below), whose sum is σ = 63152. Its totient is φ = 31572.

The previous prime is 47353. The next prime is 47363. The reversal of 47361 is 16374.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 47361 - 2³ = 47353 is a prime.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

47361 is a lucky number.

It is a plaindrome in base 14.

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, 7891 + ... + 7896.

It is an arithmetic number, because the mean of its divisors is an integer number (15788).

It is a Proth number, since it is equal to 185 ⋅ 2⁸ + 1 and 185 < 2⁸.

2⁴⁷³⁶¹ is an apocalyptic number.

It is an amenable number.

47361 is a deficient number, since it is larger than the sum of its proper divisors (15791).

47361 is a wasteful number, since it uses less digits than its factorization.

47361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15790.

The product of its digits is 504, while the sum is 21.

The square root of 47361 is about 217.6258256733. The cubic root of 47361 is about 36.1804214307.

The spelling of 47361 in words is "forty-seven thousand, three hundred sixty-one".