827825672 has 32 divisors (see below), whose sum is σ = 1565616000. Its totient is φ = 410344704.

The previous prime is 827825671. The next prime is 827825681. The reversal of 827825672 is 276528728.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (827825671) 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, 535733 + ... + 537275.

It is an arithmetic number, because the mean of its divisors is an integer number (48925500).

Almost surely, 2^827825672 is an apocalyptic number.

It is an amenable number.

827825672 is a deficient number, since it is larger than the sum of its proper divisors (737790328).

827825672 is a wasteful number, since it uses less digits than its factorization.

827825672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2081 counting only the distinct ones).

The product of its digits is 752640, while the sum is 47.

The square root of 827825672 is about 28771.9598220212. The cubic root of 827825672 is about 938.9582816247.

The spelling of 827825672 in words is "eight hundred twenty-seven million, eight hundred twenty-five thousand, six hundred seventy-two".