1285129 has 2 divisors, whose sum is σ = 1285130. Its totient is φ = 1285128.

The previous prime is 1285117. The next prime is 1285139. The reversal of 1285129 is 9215821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1054729 + 230400 = 1027^2 + 480^2 .

It is an emirp because it is prime and its reverse (9215821) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1285129 - 2⁹ = 1284617 is a prime.

1285129 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1285097 and 1285106.

It is not a weakly prime, because it can be changed into another prime (1285139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 642564 + 642565.

It is an arithmetic number, because the mean of its divisors is an integer number (642565).

2^1285129 is an apocalyptic number.

It is an amenable number.

1285129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1285129 is an equidigital number, since it uses as much as digits as its factorization.

1285129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1440, while the sum is 28.

The square root of 1285129 is about 1133.6353029083. The cubic root of 1285129 is about 108.7215348056.

Subtracting from 1285129 its product of digits (1440), we obtain a square (1283689 = 1133²).

It can be divided in two parts, 12851 and 29, that added together give a triangular number (12880 = T₁₆₀).

The spelling of 1285129 in words is "one million, two hundred eighty-five thousand, one hundred twenty-nine".