971612082 has 144 divisors (see below), whose sum is σ = 2649104640. Its totient is φ = 255721536.

The previous prime is 971612071. The next prime is 971612093. The reversal of 971612082 is 280216179.

It is an interprime number because it is at equal distance from previous prime (971612071) and next prime (971612093).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 619263 + ... + 620829.

It is an arithmetic number, because the mean of its divisors is an integer number (18396560).

Almost surely, 2^971612082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971612082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324552320).

971612082 is an abundant number, since it is smaller than the sum of its proper divisors (1677492558).

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

971612082 is a wasteful number, since it uses less digits than its factorization.

971612082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 971612082 is about 31170.6926775778. The cubic root of 971612082 is about 990.4463796634.

The spelling of 971612082 in words is "nine hundred seventy-one million, six hundred twelve thousand, eighty-two".