827848 has 16 divisors (see below), whose sum is σ = 1774080. Its totient is φ = 354768.

The previous prime is 827843. The next prime is 827851. The reversal of 827848 is 848728.

It is a super-2 number, since 2×827848² = 1370664622208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827843) by changing a digit.

827848 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 3 ways as a sum of consecutive naturals, for example, 7336 + ... + 7447.

It is an arithmetic number, because the mean of its divisors is an integer number (110880).

2⁸²⁷⁸⁴⁸ is an apocalyptic number.

It is an amenable number.

827848 is an abundant number, since it is smaller than the sum of its proper divisors (946232).

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

827848 is a wasteful number, since it uses less digits than its factorization.

827848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14796 (or 14792 counting only the distinct ones).

The product of its digits is 28672, while the sum is 37.

The square root of 827848 is about 909.8615279261. The cubic root of 827848 is about 93.8966723367.

It can be divided in two parts, 8 and 27848, that multiplied together give a square (222784 = 472²).

The spelling of 827848 in words is "eight hundred twenty-seven thousand, eight hundred forty-eight".