1997985312 has 96 divisors (see below), whose sum is σ = 5836440960. Its totient is φ = 664968960.

The previous prime is 1997985271. The next prime is 1997985313. The reversal of 1997985312 is 2135897991.

1997985312 is a `hidden beast` number, since 19 + 9 + 7 + 98 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1997985313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735637 + ... + 738347.

It is an arithmetic number, because the mean of its divisors is an integer number (60796260).

Almost surely, 2^1997985312 is an apocalyptic number.

1997985312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1997985312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918220480).

1997985312 is an abundant number, since it is smaller than the sum of its proper divisors (3838455648).

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

1997985312 is a wasteful number, since it uses less digits than its factorization.

1997985312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3569 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The square root of 1997985312 is about 44698.8289779497. The cubic root of 1997985312 is about 1259.4978497903.

The spelling of 1997985312 in words is "one billion, nine hundred ninety-seven million, nine hundred eighty-five thousand, three hundred twelve".