1688137929 has 20 divisors (see below), whose sum is σ = 2522900820. Its totient is φ = 1124928000.

The previous prime is 1688137909. The next prime is 1688137931. The reversal of 1688137929 is 9297318861.

1688137929 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 897122304 + 791015625 = 29952^2 + 28125^2 .

It is not a de Polignac number, because 1688137929 - 2²⁷ = 1553920201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1688137909) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 321477 + ... + 326685.

It is an arithmetic number, because the mean of its divisors is an integer number (126145041).

Almost surely, 2^1688137929 is an apocalyptic number.

It is an amenable number.

1688137929 is a deficient number, since it is larger than the sum of its proper divisors (834762891).

1688137929 is an equidigital number, since it uses as much as digits as its factorization.

1688137929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9222 (or 9213 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 1688137929 is about 41086.9557037267. The cubic root of 1688137929 is about 1190.7007921744.

The spelling of 1688137929 in words is "one billion, six hundred eighty-eight million, one hundred thirty-seven thousand, nine hundred twenty-nine".