653472 has 36 divisors (see below), whose sum is σ = 1859130. Its totient is φ = 217728.

The previous prime is 653461. The next prime is 653473. The reversal of 653472 is 274356.

It is a happy number.

653472 is a `hidden beast` number, since 653 + 4 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 646416 + 7056 = 804^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (653473) by changing a digit.

653472 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 5 ways as a sum of consecutive naturals, for example, 847 + ... + 1422.

2⁶⁵³⁴⁷² is an apocalyptic number.

It is an amenable number.

653472 is an abundant number, since it is smaller than the sum of its proper divisors (1205658).

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

653472 is a wasteful number, since it uses less digits than its factorization.

653472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2274 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 653472 is about 808.3761500688. The cubic root of 653472 is about 86.7778717120. Note that the first 3 decimals are identical.

The spelling of 653472 in words is "six hundred fifty-three thousand, four hundred seventy-two".