653716 has 24 divisors (see below), whose sum is σ = 1344896. Its totient is φ = 272160.

The previous prime is 653713. The next prime is 653743. The reversal of 653716 is 617356.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 721 + ... + 1351.

2⁶⁵³⁷¹⁶ 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 653716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672448).

653716 is an abundant number, since it is smaller than the sum of its proper divisors (691180).

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

653716 is a wasteful number, since it uses less digits than its factorization.

653716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 677 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 653716 is about 808.5270558244. The cubic root of 653716 is about 86.7886710352.

It can be divided in two parts, 653 and 716, that added together give a square (1369 = 37²).

The spelling of 653716 in words is "six hundred fifty-three thousand, seven hundred sixteen".