821672 has 16 divisors (see below), whose sum is σ = 1550400. Its totient is φ = 408240.

The previous prime is 821663. The next prime is 821677. The reversal of 821672 is 276128.

It is a d-powerful number, because it can be written as 8³ + 2⁷ + 6⁷ + 1 + 7⁵ + 2¹⁹ .

It is not an unprimeable number, because it can be changed into a prime (821677) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1979 + ... + 2357.

It is an arithmetic number, because the mean of its divisors is an integer number (96900).

2⁸²¹⁶⁷² is an apocalyptic number.

It is an amenable number.

821672 is a deficient number, since it is larger than the sum of its proper divisors (728728).

821672 is a wasteful number, since it uses less digits than its factorization.

821672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 652 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 821672 is about 906.4612512402. The cubic root of 821672 is about 93.6625899339.

The spelling of 821672 in words is "eight hundred twenty-one thousand, six hundred seventy-two".