653828 has 24 divisors (see below), whose sum is σ = 1377600. Its totient is φ = 265248.

The previous prime is 653819. The next prime is 653831. The reversal of 653828 is 828356.

It is a junction number, because it is equal to n+sod(n) for n = 653794 and 653803.

It is a congruent number.

It is an unprimeable number.

653828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83 + ... + 1146.

It is an arithmetic number, because the mean of its divisors is an integer number (57400).

2⁶⁵³⁸²⁸ is an apocalyptic number.

It is an amenable number.

653828 is an abundant number, since it is smaller than the sum of its proper divisors (723772).

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

653828 is a wasteful number, since it uses less digits than its factorization.

653828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1257 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 653828 is about 808.5963146095. The cubic root of 653828 is about 86.7936272017.

Subtracting from 653828 its sum of digits (32), we obtain a triangular number (653796 = T₁₁₄₃).

The spelling of 653828 in words is "six hundred fifty-three thousand, eight hundred twenty-eight".