47545 has 8 divisors (see below), whose sum is σ = 58824. Its totient is φ = 36864.

The previous prime is 47543. The next prime is 47563. The reversal of 47545 is 54574.

47545 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 19321 = 168^2 + 139^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 4-Lehmer number, since φ(47545) divides (47545-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 47545 - 2¹ = 47543 is a prime.

It is a Duffinian number.

47545 is an undulating number in base 16.

It is not an unprimeable number, because it can be changed into a prime (47543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 313.

It is an arithmetic number, because the mean of its divisors is an integer number (7353).

2⁴⁷⁵⁴⁵ is an apocalyptic number.

It is an amenable number.

47545 is a deficient number, since it is larger than the sum of its proper divisors (11279).

47545 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (47544) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (299).

47545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299.

The product of its digits is 2800, while the sum is 25.

The square root of 47545 is about 218.0481598180. The cubic root of 47545 is about 36.2272151704.

The spelling of 47545 in words is "forty-seven thousand, five hundred forty-five".