970224 has 80 divisors (see below), whose sum is σ = 2812320. Its totient is φ = 286720.

The previous prime is 970219. The next prime is 970231. The reversal of 970224 is 422079.

970224 = T₁₁₁ + T₁₁₂ + ... + T₁₉₂.

It is a Cunningham number, because it is equal to 985²-1.

It is a super-4 number, since 4×970224⁴ (a number of 25 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 970194 and 970203.

It is a congruent number.

It is an unprimeable number.

970224 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 15 ways as a sum of consecutive naturals, for example, 23644 + ... + 23684.

It is an arithmetic number, because the mean of its divisors is an integer number (35154).

2⁹⁷⁰²²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406160).

970224 is an abundant number, since it is smaller than the sum of its proper divisors (1842096).

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

970224 is a wasteful number, since it uses less digits than its factorization.

970224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 970224 is about 984.9994923857. Note that the first 3 decimals coincide. The cubic root of 970224 is about 98.9974491741.

The spelling of 970224 in words is "nine hundred seventy thousand, two hundred twenty-four".