61284 has 12 divisors (see below), whose sum is σ = 143024. Its totient is φ = 20424.

The previous prime is 61283. The next prime is 61291. The reversal of 61284 is 48216.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61284.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 61284.

It is not an unprimeable number, because it can be changed into a prime (61283) 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, 2542 + ... + 2565.

2⁶¹²⁸⁴ is an apocalyptic number.

It is an amenable number.

61284 is an abundant number, since it is smaller than the sum of its proper divisors (81740).

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 (71512).

61284 is a wasteful number, since it uses less digits than its factorization.

61284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5114 (or 5112 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 61284 is about 247.5560542584. The cubic root of 61284 is about 39.4259682621.

It can be divided in two parts, 612 and 84, that added together give a palindrome (696).

The spelling of 61284 in words is "sixty-one thousand, two hundred eighty-four".