653216 has 24 divisors (see below), whose sum is σ = 1304100. Its totient is φ = 322048.

The previous prime is 653209. The next prime is 653243. The reversal of 653216 is 612356.

It can be written as a sum of positive squares in 2 ways, for example, as 633616 + 19600 = 796^2 + 140^2 .

It is a super-2 number, since 2×653216² = 853382285312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 653191 and 653200.

It is an unprimeable number.

653216 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, 4310 + ... + 4458.

2⁶⁵³²¹⁶ is an apocalyptic number.

It is an amenable number.

653216 is a deficient number, since it is larger than the sum of its proper divisors (650884).

653216 is a wasteful number, since it uses less digits than its factorization.

653216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its digits is 1080, while the sum is 23.

The square root of 653216 is about 808.2177924297. The cubic root of 653216 is about 86.7665383844.

The spelling of 653216 in words is "six hundred fifty-three thousand, two hundred sixteen".