1688137 has 12 divisors (see below), whose sum is σ = 1908144. Its totient is φ = 1480920.

The previous prime is 1688123. The next prime is 1688143. The reversal of 1688137 is 7318861.

It is not a de Polignac number, because 1688137 - 2¹⁹ = 1163849 is a prime.

It is a Duffinian number.

1688137 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1688147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20298 + ... + 20380.

It is an arithmetic number, because the mean of its divisors is an integer number (159012).

2^1688137 is an apocalyptic number.

It is an amenable number.

1688137 is a deficient number, since it is larger than the sum of its proper divisors (220007).

1688137 is an equidigital number, since it uses as much as digits as its factorization.

1688137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 137 counting only the distinct ones).

The product of its digits is 8064, while the sum is 34.

The square root of 1688137 is about 1299.2832639575. The cubic root of 1688137 is about 119.0700573756.

The spelling of 1688137 in words is "one million, six hundred eighty-eight thousand, one hundred thirty-seven".