972918216 has 160 divisors (see below), whose sum is σ = 2942913600. Its totient is φ = 299376000.

The previous prime is 972918209. The next prime is 972918223. The reversal of 972918216 is 612819279.

It is an interprime number because it is at equal distance from previous prime (972918209) and next prime (972918223).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 431091 + ... + 433341.

It is an arithmetic number, because the mean of its divisors is an integer number (18393210).

Almost surely, 2^972918216 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 972918216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471456800).

972918216 is an abundant number, since it is smaller than the sum of its proper divisors (1969995384).

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

972918216 is a wasteful number, since it uses less digits than its factorization.

972918216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2308 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 972918216 is about 31191.6369560817. The cubic root of 972918216 is about 990.8899985599.

The spelling of 972918216 in words is "nine hundred seventy-two million, nine hundred eighteen thousand, two hundred sixteen".