996345441 has 112 divisors (see below), whose sum is σ = 1921441536. Its totient is φ = 501925248.

The previous prime is 996345437. The next prime is 996345443. The reversal of 996345441 is 144543699.

996345441 is a `hidden beast` number, since 9 + 9 + 634 + 5 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 996345441 - 2² = 996345437 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (996345443) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1525471 + ... + 1526123.

It is an arithmetic number, because the mean of its divisors is an integer number (17155728).

Almost surely, 2^996345441 is an apocalyptic number.

996345441 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

996345441 is a deficient number, since it is larger than the sum of its proper divisors (925096095).

996345441 is a wasteful number, since it uses less digits than its factorization.

996345441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 699 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 996345441 is about 31564.9400601363. The cubic root of 996345441 is about 998.7803266684.

The spelling of 996345441 in words is "nine hundred ninety-six million, three hundred forty-five thousand, four hundred forty-one".