997962144 has 96 divisors (see below), whose sum is σ = 2660898240. Its totient is φ = 327462912.

The previous prime is 997962127. The next prime is 997962151. The reversal of 997962144 is 441269799.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2961144 + ... + 2961480.

It is an arithmetic number, because the mean of its divisors is an integer number (27717690).

Almost surely, 2^997962144 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 997962144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330449120).

997962144 is an abundant number, since it is smaller than the sum of its proper divisors (1662936096).

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

997962144 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (997962143) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (742).

997962144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 734 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The square root of 997962144 is about 31590.5388368100. The cubic root of 997962144 is about 999.3202527150.

The spelling of 997962144 in words is "nine hundred ninety-seven million, nine hundred sixty-two thousand, one hundred forty-four".