653312 has 48 divisors (see below), whose sum is σ = 1474200. Its totient is φ = 286720.

The previous prime is 653311. The next prime is 653321. The reversal of 653312 is 213356.

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 653312.

It is not an unprimeable number, because it can be changed into a prime (653311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22514 + ... + 22542.

2⁶⁵³³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737100).

653312 is an abundant number, since it is smaller than the sum of its proper divisors (820888).

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

653312 is a wasteful number, since it uses less digits than its factorization.

653312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 42 counting only the distinct ones).

The product of its digits is 540, while the sum is 20.

The square root of 653312 is about 808.2771801802. The cubic root of 653312 is about 86.7707887292.

Adding to 653312 its reverse (213356), we get a palindrome (866668).

The spelling of 653312 in words is "six hundred fifty-three thousand, three hundred twelve".