970824 has 32 divisors (see below), whose sum is σ = 2556000. Its totient is φ = 306432.

The previous prime is 970817. The next prime is 970829. The reversal of 970824 is 428079.

It is a junction number, because it is equal to n+sod(n) for n = 970791 and 970800.

It is not an unprimeable number, because it can be changed into a prime (970829) by changing a digit.

970824 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, 609 + ... + 1520.

It is an arithmetic number, because the mean of its divisors is an integer number (79875).

2⁹⁷⁰⁸²⁴ is an apocalyptic number.

It is an amenable number.

970824 is an abundant number, since it is smaller than the sum of its proper divisors (1585176).

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

970824 is a wasteful number, since it uses less digits than its factorization.

970824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 970824 is about 985.3040139977. The cubic root of 970824 is about 99.0178521015.

The spelling of 970824 in words is "nine hundred seventy thousand, eight hundred twenty-four".