1288225 has 9 divisors (see below), whose sum is σ = 1604467. Its totient is φ = 1026040.

The previous prime is 1288213. The next prime is 1288247. The reversal of 1288225 is 5228821.

The square root of 1288225 is 1135.

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., 463761 + 824464 = 681^2 + 908^2 .

It is not a de Polignac number, because 1288225 - 2^{5} = 1288193 is a prime.

It is a Duffinian number.

1288225 is a lucky number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 1288193 and 1288202.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5562 + ... + 5788.

2^{1288225} is an apocalyptic number.

1288225 is the 1135-th square number.

1288225 is the 568-th centered octagonal number.

It is an amenable number.

1288225 is a deficient number, since it is larger than the sum of its proper divisors (316242).

1288225 is an frugal number, since it uses more digits than its factorization.

1288225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 232 counting only the distinct ones).

The product of its digits is 2560, while the sum is 28.

The cubic root of 1288225 is about 108.8087716850.

The spelling of 1288225 in words is "one million, two hundred eighty-eight thousand, two hundred twenty-five".

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