683972 has 12 divisors (see below), whose sum is σ = 1209516. Its totient is φ = 338400.

The previous prime is 683957. The next prime is 683983. The reversal of 683972 is 279386.

It can be written as a sum of positive squares in 2 ways, for example, as 495616 + 188356 = 704^2 + 434^2 .

It is an Ulam number.

It is an unprimeable number.

683972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 443 + ... + 1250.

It is an arithmetic number, because the mean of its divisors is an integer number (100793).

2⁶⁸³⁹⁷² is an apocalyptic number.

It is an amenable number.

683972 is a deficient number, since it is larger than the sum of its proper divisors (525544).

683972 is a wasteful number, since it uses less digits than its factorization.

683972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1796 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 683972 is about 827.0259971730. The cubic root of 683972 is about 88.1074788700.

The spelling of 683972 in words is "six hundred eighty-three thousand, nine hundred seventy-two".