1329129 has 20 divisors (see below), whose sum is σ = 2025540. Its totient is φ = 868320.

The previous prime is 1329127. The next prime is 1329131. The reversal of 1329129 is 9219231.

It is an interprime number because it is at equal distance from previous prime (1329127) and next prime (1329131).

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 1265625 = 252^2 + 1125^2 .

It is not a de Polignac number, because 1329129 - 2¹ = 1329127 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329127) 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 19 ways as a sum of consecutive naturals, for example, 4807 + ... + 5075.

It is an arithmetic number, because the mean of its divisors is an integer number (101277).

2^1329129 is an apocalyptic number.

It is an amenable number.

1329129 is a deficient number, since it is larger than the sum of its proper divisors (696411).

1329129 is an equidigital number, since it uses as much as digits as its factorization.

With its successor (1329130) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (342).

1329129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 333 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 1329129 is about 1152.8785712294. The cubic root of 1329129 is about 109.9484331300.

It can be divided in two parts, 132 and 9129, that added together give a cube (9261 = 21³).

The spelling of 1329129 in words is "one million, three hundred twenty-nine thousand, one hundred twenty-nine".