653752 has 64 divisors (see below), whose sum is σ = 1555200. Its totient is φ = 253440.

The previous prime is 653749. The next prime is 653761. The reversal of 653752 is 257356.

It is an Ulam number.

It is a d-powerful number, because it can be written as 6 + 5⁴ + 7³ + 3² + 5⁸ + 2¹⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 653752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28413 + ... + 28435.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

2⁶⁵³⁷⁵² 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 653752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777600).

653752 is an abundant number, since it is smaller than the sum of its proper divisors (901448).

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

653752 is a wasteful number, since it uses less digits than its factorization.

653752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 72 counting only the distinct ones).

The product of its digits is 6300, while the sum is 28.

The square root of 653752 is about 808.5493182237. The cubic root of 653752 is about 86.7902641504.

The spelling of 653752 in words is "six hundred fifty-three thousand, seven hundred fifty-two".