827672 has 16 divisors (see below), whose sum is σ = 1561560. Its totient is φ = 411264.

The previous prime is 827639. The next prime is 827677. The reversal of 827672 is 276728.

It is a d-powerful number, because it can be written as 8⁴ + 2² + 6 + 7 + 7⁷ + 2⁴ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827677) by changing a digit.

827672 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2288 + ... + 2624.

2⁸²⁷⁶⁷² is an apocalyptic number.

It is an amenable number.

827672 is a deficient number, since it is larger than the sum of its proper divisors (733888).

827672 is a wasteful number, since it uses less digits than its factorization.

827672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 646 counting only the distinct ones).

The product of its digits is 9408, while the sum is 32.

The square root of 827672 is about 909.7648047710. The cubic root of 827672 is about 93.8900177392.

The spelling of 827672 in words is "eight hundred twenty-seven thousand, six hundred seventy-two".