653225 has 24 divisors (see below), whose sum is σ = 903960. Its totient is φ = 465920.

The previous prime is 653209. The next prime is 653243. The reversal of 653225 is 522356.

653225 = T₁₃₆ + T₁₃₇ + ... + T₁₈₅.

653225 = 571² + 572².

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 43264 + 609961 = 208^2 + 781^2 .

It is not a de Polignac number, because 653225 - 2⁴ = 653209 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 653225.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 653225.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12299 + ... + 12351.

It is an arithmetic number, because the mean of its divisors is an integer number (37665).

2⁶⁵³²²⁵ is an apocalyptic number.

653225 is the 572-nd centered square number.

It is an amenable number.

653225 is a deficient number, since it is larger than the sum of its proper divisors (250735).

653225 is a wasteful number, since it uses less digits than its factorization.

653225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 104 counting only the distinct ones).

The product of its digits is 1800, while the sum is 23.

The square root of 653225 is about 808.2233602167. The cubic root of 653225 is about 86.7669368720.

It can be divided in two parts, 653 and 225, that added together give a palindrome (878).

The spelling of 653225 in words is "six hundred fifty-three thousand, two hundred twenty-five".