1284214125 has 64 divisors (see below), whose sum is σ = 2199674880. Its totient is φ = 665121600.

The previous prime is 1284214121. The next prime is 1284214157. The reversal of 1284214125 is 5214124821.

1284214125 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1284214125 - 2² = 1284214121 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1284214092 and 1284214101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284214121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1984552 + ... + 1985198.

It is an arithmetic number, because the mean of its divisors is an integer number (34369920).

Almost surely, 2^1284214125 is an apocalyptic number.

1284214125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1284214125 is a deficient number, since it is larger than the sum of its proper divisors (915460755).

1284214125 is an equidigital number, since it uses as much as digits as its factorization.

1284214125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 801 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 1284214125 is about 35835.9334327990. The cubic root of 1284214125 is about 1086.9572929589.

Adding to 1284214125 its reverse (5214124821), we get a palindrome (6498338946).

The spelling of 1284214125 in words is "one billion, two hundred eighty-four million, two hundred fourteen thousand, one hundred twenty-five".