681972 has 24 divisors (see below), whose sum is σ = 1685376. Its totient is φ = 213888.

The previous prime is 681971. The next prime is 681977. The reversal of 681972 is 279186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1468 + ... + 1875.

It is an arithmetic number, because the mean of its divisors is an integer number (70224).

2⁶⁸¹⁹⁷² is an apocalyptic number.

It is an amenable number.

681972 is an abundant number, since it is smaller than the sum of its proper divisors (1003404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

681972 is a wasteful number, since it uses less digits than its factorization.

681972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367 (or 3365 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 681972 is about 825.8159601267. The cubic root of 681972 is about 88.0215167771.

It can be divided in two parts, 681 and 972, that added together give a triangular number (1653 = T₅₇).

The spelling of 681972 in words is "six hundred eighty-one thousand, nine hundred seventy-two".