653253 has 16 divisors (see below), whose sum is σ = 919296. Its totient is φ = 412160.

The previous prime is 653243. The next prime is 653267. The reversal of 653253 is 352356.

It is a cyclic number.

It is not a de Polignac number, because 653253 - 2⁸ = 652997 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

653253 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5725 + ... + 5837.

It is an arithmetic number, because the mean of its divisors is an integer number (57456).

2⁶⁵³²⁵³ is an apocalyptic number.

It is an amenable number.

653253 is a deficient number, since it is larger than the sum of its proper divisors (266043).

653253 is a wasteful number, since it uses less digits than its factorization.

653253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204.

The product of its digits is 2700, while the sum is 24.

The square root of 653253 is about 808.2406819754. The cubic root of 653253 is about 86.7681765875.

The spelling of 653253 in words is "six hundred fifty-three thousand, two hundred fifty-three".