827948 has 24 divisors (see below), whose sum is σ = 1634304. Its totient is φ = 363600.

The previous prime is 827941. The next prime is 827969. The reversal of 827948 is 849728.

It is not an unprimeable number, because it can be changed into a prime (827941) by changing a digit.

827948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1061 + ... + 1667.

It is an arithmetic number, because the mean of its divisors is an integer number (68096).

2⁸²⁷⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

827948 is a deficient number, since it is larger than the sum of its proper divisors (806356).

827948 is a wasteful number, since it uses less digits than its factorization.

827948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 651 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 827948 is about 909.9164796837. The cubic root of 827948 is about 93.9004529378.

The spelling of 827948 in words is "eight hundred twenty-seven thousand, nine hundred forty-eight".