531684 has 36 divisors (see below), whose sum is σ = 1396304. Its totient is φ = 176904.

The previous prime is 531673. The next prime is 531689. The reversal of 531684 is 486135.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 531684.

It is not an unprimeable number, because it can be changed into a prime (531689) by changing a digit.

531684 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 699 + ... + 1245.

531684 is a Friedman number, since it can be written as 3^5+(8+1^4)^6, using all its digits and the basic arithmetic operations.

2⁵³¹⁶⁸⁴ is an apocalyptic number.

531684 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698152).

531684 is an abundant number, since it is smaller than the sum of its proper divisors (864620).

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

531684 is a wasteful number, since it uses less digits than its factorization.

531684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 552 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 531684 is about 729.1666476190. The cubic root of 531684 is about 81.0123437978.

The spelling of 531684 in words is "five hundred thirty-one thousand, six hundred eighty-four".