1287825 has 48 divisors (see below), whose sum is σ = 2666496. Its totient is φ = 532800.

The previous prime is 1287821. The next prime is 1287829. The reversal of 1287825 is 5287821.

It is an interprime number because it is at equal distance from previous prime (1287821) and next prime (1287829).

It is not a de Polignac number, because 1287825 - 2² = 1287821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1287821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5664 + ... + 5886.

It is an arithmetic number, because the mean of its divisors is an integer number (55552).

2^1287825 is an apocalyptic number.

1287825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1287825 is an abundant number, since it is smaller than the sum of its proper divisors (1378671).

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

1287825 is a wasteful number, since it uses less digits than its factorization.

1287825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 249 counting only the distinct ones).

The product of its digits is 8960, while the sum is 33.

The square root of 1287825 is about 1134.8237748655. The cubic root of 1287825 is about 108.7975086385.

It can be divided in two parts, 1287 and 825, that added together give a palindrome (2112).

The spelling of 1287825 in words is "one million, two hundred eighty-seven thousand, eight hundred twenty-five".