827124 has 12 divisors (see below), whose sum is σ = 1929984. Its totient is φ = 275704.

The previous prime is 827087. The next prime is 827129. The reversal of 827124 is 421728.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×827124² = 1368268222752, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 827094 and 827103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827129) 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, 34452 + ... + 34475.

It is an arithmetic number, because the mean of its divisors is an integer number (160832).

2⁸²⁷¹²⁴ is an apocalyptic number.

It is an amenable number.

827124 is an abundant number, since it is smaller than the sum of its proper divisors (1102860).

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

827124 is a wasteful number, since it uses less digits than its factorization.

827124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68934 (or 68932 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 827124 is about 909.4635781602. The cubic root of 827124 is about 93.8692916991.

The spelling of 827124 in words is "eight hundred twenty-seven thousand, one hundred twenty-four".