687973 has 16 divisors (see below), whose sum is σ = 858816. Its totient is φ = 541440.

The previous prime is 687961. The next prime is 687977. The reversal of 687973 is 379786.

It is a cyclic number.

It is not a de Polignac number, because 687973 - 2⁹ = 687461 is a prime.

It is a Duffinian number.

Its product of digits (63504) is a multiple of the sum of its prime divisors (324).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2290 + ... + 2572.

It is an arithmetic number, because the mean of its divisors is an integer number (53676).

2⁶⁸⁷⁹⁷³ is an apocalyptic number.

It is an amenable number.

687973 is a deficient number, since it is larger than the sum of its proper divisors (170843).

687973 is a wasteful number, since it uses less digits than its factorization.

687973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324.

The product of its digits is 63504, while the sum is 40.

The square root of 687973 is about 829.4413782782. The cubic root of 687973 is about 88.2789444069.

The spelling of 687973 in words is "six hundred eighty-seven thousand, nine hundred seventy-three".