1971004816 has 45 divisors (see below), whose sum is σ = 4201712193. Its totient is φ = 895023360.

The previous prime is 1971004811. The next prime is 1971004829. The reversal of 1971004816 is 6184001791.

The square root of 1971004816 is 44396.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 604963216 + 1366041600 = 24596^2 + 36960^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1971004811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1952920 + ... + 1953928.

Almost surely, 2^1971004816 is an apocalyptic number.

1971004816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1971004816 is the 44396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1971004816

1971004816 is an abundant number, since it is smaller than the sum of its proper divisors (2230707377).

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

1971004816 is an equidigital number, since it uses as much as digits as its factorization.

1971004816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The cubic root of 1971004816 is about 1253.8027801057.

The spelling of 1971004816 in words is "one billion, nine hundred seventy-one million, four thousand, eight hundred sixteen".