67815225 has 63 divisors (see below), whose sum is σ = 128179389. Its totient is φ = 35575200.

The previous prime is 67815217. The next prime is 67815229. The reversal of 67815225 is 52251876.

It is a happy number.

The square root of 67815225 is 8235.

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 31236921 + 36578304 = 5589^2 + 6048^2 .

It is not a de Polignac number, because 67815225 - 2³ = 67815217 is a prime.

Its product of digits (33600) is a multiple of the sum of its prime factors (150).

It is a self number, because there is not a number n which added to its sum of digits gives 67815225.

It is not an unprimeable number, because it can be changed into a prime (67815229) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1111695 + ... + 1111755.

Almost surely, 2^67815225 is an apocalyptic number.

67815225 is the 8235-th square number.

67815225 is the 4118-th centered octagonal number.

It is an amenable number.

67815225 is a deficient number, since it is larger than the sum of its proper divisors (60364164).

67815225 is an frugal number, since it uses more digits than its factorization.

67815225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 69 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The cubic root of 67815225 is about 407.7954749135.

Multiplying 67815225 by its sum of digits (36), we get a square (2441348100 = 49410²).

The spelling of 67815225 in words is "sixty-seven million, eight hundred fifteen thousand, two hundred twenty-five".