1687413 has 24 divisors (see below), whose sum is σ = 2821728. Its totient is φ = 889056.

The previous prime is 1687393. The next prime is 1687421. The reversal of 1687413 is 3147861.

It is a happy number.

It is not a de Polignac number, because 1687413 - 2⁵ = 1687381 is a prime.

It is a Curzon number.

1687413 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1687453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1470 + ... + 2352.

It is an arithmetic number, because the mean of its divisors is an integer number (117572).

2^1687413 is an apocalyptic number.

1687413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1687413 is a deficient number, since it is larger than the sum of its proper divisors (1134315).

1687413 is a wasteful number, since it uses less digits than its factorization.

1687413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 906 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 1687413 is about 1299.0046189294. The cubic root of 1687413 is about 119.0530328789.

The spelling of 1687413 in words is "one million, six hundred eighty-seven thousand, four hundred thirteen".