1681329 has 16 divisors (see below), whose sum is σ = 2542400. Its totient is φ = 979776.

The previous prime is 1681321. The next prime is 1681349. The reversal of 1681329 is 9231861.

It is not a de Polignac number, because 1681329 - 2³ = 1681321 is a prime.

It is a Duffinian number.

1681329 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1681296 and 1681305.

It is not an unprimeable number, because it can be changed into a prime (1681321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394 + ... + 1875.

It is an arithmetic number, because the mean of its divisors is an integer number (158900).

2^1681329 is an apocalyptic number.

1681329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1681329 is a deficient number, since it is larger than the sum of its proper divisors (861071).

1681329 is a wasteful number, since it uses less digits than its factorization.

1681329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304.

The product of its digits is 2592, while the sum is 30.

The square root of 1681329 is about 1296.6607112117. The cubic root of 1681329 is about 118.9097779052.

The spelling of 1681329 in words is "one million, six hundred eighty-one thousand, three hundred twenty-nine".