8970 has 32 divisors (see below), whose sum is σ = 24192. Its totient is φ = 2112.

The previous prime is 8969. The next prime is 8971. The reversal of 8970 is 798.

8970 = 20² + 21² + ... + 32².

8970 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (8969) and next prime (8971).

It is a d-powerful number, because it can be written as 8 + 7⁴ + 9⁴ + 0 .

It is a plaindrome in base 14.

It is a nialpdrome in base 13.

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 8970.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379 + ... + 401.

It is an arithmetic number, because the mean of its divisors is an integer number (756).

2⁸⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096).

8970 is an abundant number, since it is smaller than the sum of its proper divisors (15222).

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

8970 is a wasteful number, since it uses less digits than its factorization.

8970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 8970 is about 94.7100839404. The cubic root of 8970 is about 20.7777004603. Note that the first 4 decimals are identical.

The spelling of 8970 in words is "eight thousand, nine hundred seventy".