653772 has 48 divisors (see below), whose sum is σ = 1793792. Its totient is φ = 181440.

The previous prime is 653761. The next prime is 653777. The reversal of 653772 is 277356.

It is not an unprimeable number, because it can be changed into a prime (653777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3522 + ... + 3702.

2⁶⁵³⁷⁷² 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 653772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896896).

653772 is an abundant number, since it is smaller than the sum of its proper divisors (1140020).

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

653772 is a wasteful number, since it uses less digits than its factorization.

653772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 236 counting only the distinct ones).

The product of its digits is 8820, while the sum is 30.

The square root of 653772 is about 808.5616859585. The cubic root of 653772 is about 86.7911491892.

The spelling of 653772 in words is "six hundred fifty-three thousand, seven hundred seventy-two".