971016144 has 120 divisors (see below), whose sum is σ = 2929544640. Its totient is φ = 276337152.

The previous prime is 971016103. The next prime is 971016173. The reversal of 971016144 is 441610179.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 735517 + ... + 736835.

It is an arithmetic number, because the mean of its divisors is an integer number (24412872).

Almost surely, 2^971016144 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 971016144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464772320).

971016144 is an abundant number, since it is smaller than the sum of its proper divisors (1958528496).

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

971016144 is a wasteful number, since it uses less digits than its factorization.

971016144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 971016144 is about 31161.1319434965. The cubic root of 971016144 is about 990.2438415785.

The spelling of 971016144 in words is "nine hundred seventy-one million, sixteen thousand, one hundred forty-four".