653982 has 32 divisors (see below), whose sum is σ = 1562112. Its totient is φ = 178464.

The previous prime is 653977. The next prime is 653993. The reversal of 653982 is 289356.

It is a happy number.

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 653982.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628 + ... + 1304.

It is an arithmetic number, because the mean of its divisors is an integer number (48816).

2⁶⁵³⁹⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781056).

653982 is an abundant number, since it is smaller than the sum of its proper divisors (908130).

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

653982 is a wasteful number, since it uses less digits than its factorization.

653982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712.

The product of its digits is 12960, while the sum is 33.

The square root of 653982 is about 808.6915357539. The cubic root of 653982 is about 86.8004410066.

The spelling of 653982 in words is "six hundred fifty-three thousand, nine hundred eighty-two".