1288365 has 16 divisors (see below), whose sum is σ = 2220288. Its totient is φ = 634176.

The previous prime is 1288363. The next prime is 1288367. The reversal of 1288365 is 5638821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1288363) and next prime (1288367).

It is not a de Polignac number, because 1288365 - 2¹ = 1288363 is a prime.

It is an Ulam number.

It is a Curzon number.

1288365 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3109 + ... + 3498.

It is an arithmetic number, because the mean of its divisors is an integer number (138768).

2^1288365 is an apocalyptic number.

1288365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1288365 is a deficient number, since it is larger than the sum of its proper divisors (931923).

1288365 is a wasteful number, since it uses less digits than its factorization.

1288365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6628.

The product of its digits is 11520, while the sum is 33.

The square root of 1288365 is about 1135.0616723333. The cubic root of 1288365 is about 108.8127132005.

It can be divided in two parts, 1288 and 365, that added together give a triangular number (1653 = T₅₇).

The spelling of 1288365 in words is "one million, two hundred eighty-eight thousand, three hundred sixty-five".