653672 has 16 divisors (see below), whose sum is σ = 1239300. Its totient is φ = 323200.

The previous prime is 653659. The next prime is 653687. The reversal of 653672 is 276356.

It can be written as a sum of positive squares in 2 ways, for example, as 498436 + 155236 = 706^2 + 394^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 653672.

It is an unprimeable number.

653672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 404 + ... + 1212.

2⁶⁵³⁶⁷² is an apocalyptic number.

It is a pronic number, being equal to 808×809.

It is an amenable number.

653672 is a deficient number, since it is larger than the sum of its proper divisors (585628).

653672 is a wasteful number, since it uses less digits than its factorization.

653672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 912 counting only the distinct ones).

The product of its digits is 7560, while the sum is 29.

The square root of 653672 is about 808.4998453927. The cubic root of 653672 is about 86.7867238149.

The spelling of 653672 in words is "six hundred fifty-three thousand, six hundred seventy-two".