47574 has 16 divisors (see below), whose sum is σ = 105840. Its totient is φ = 15840.

The previous prime is 47569. The next prime is 47581.

47574 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47574.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387 + ... + 494.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

2⁴⁷⁵⁷⁴ is an apocalyptic number.

47574 is an abundant number, since it is smaller than the sum of its proper divisors (58266).

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 (52920).

47574 is a wasteful number, since it uses less digits than its factorization.

47574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 886 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 47574 is about 218.1146487515. The cubic root of 47574 is about 36.2345792515.

It can be divided in two parts, 4757 and 4, that added together give a square (4761 = 69²).

The spelling of 47574 in words is "forty-seven thousand, five hundred seventy-four".