65367225 has 135 divisors (see below), whose sum is σ = 150130799. Its totient is φ = 27165600.

The previous prime is 65367187. The next prime is 65367283. The reversal of 65367225 is 52276356.

It is a happy number.

The square root of 65367225 is 8085.

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

It can be written as a sum of positive squares in only one way, i.e., 23532201 + 41835024 = 4851^2 + 6468^2 .

It is not a de Polignac number, because 65367225 - 2¹¹ = 65365177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 65367225.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5942470 + ... + 5942480.

Almost surely, 2^65367225 is an apocalyptic number.

65367225 is the 8085-th square number.

65367225 is the 4043-rd centered octagonal number.

It is an amenable number.

65367225 is an abundant number, since it is smaller than the sum of its proper divisors (84763574).

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

65367225 is a wasteful number, since it uses less digits than its factorization.

65367225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 26 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The cubic root of 65367225 is about 402.8283395195.

Multiplying 65367225 by its sum of digits (36), we get a square (2353220100 = 48510²).

The spelling of 65367225 in words is "sixty-five million, three hundred sixty-seven thousand, two hundred twenty-five".