65853225 has 27 divisors (see below), whose sum is σ = 118168869. Its totient is φ = 35056800.

The previous prime is 65853197. The next prime is 65853233. The reversal of 65853225 is 52235856.

It is a happy number.

The square root of 65853225 is 8115.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3884841 + 61968384 = 1971^2 + 7872^2 .

It is not a de Polignac number, because 65853225 - 2⁷ = 65853097 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 65853225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 121455 + ... + 121995.

Almost surely, 2^65853225 is an apocalyptic number.

65853225 is the 8115-th square number.

65853225 is the 4058-th centered octagonal number.

It is an amenable number.

65853225 is a deficient number, since it is larger than the sum of its proper divisors (52315644).

65853225 is an equidigital number, since it uses as much as digits as its factorization.

65853225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 549 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The cubic root of 65853225 is about 403.8242074939.

Multiplying 65853225 by its sum of digits (36), we get a square (2370716100 = 48690²).

The spelling of 65853225 in words is "sixty-five million, eight hundred fifty-three thousand, two hundred twenty-five".