96129441 has 24 divisors (see below), whose sum is σ = 151003944. Its totient is φ = 58682880.

The previous prime is 96129437. The next prime is 96129457. The reversal of 96129441 is 14492169.

It is a happy number.

96129441 is a `hidden beast` number, since 96 + 129 + 441 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75690000 + 20439441 = 8700^2 + 4521^2 .

It is not a de Polignac number, because 96129441 - 2² = 96129437 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 96129396 and 96129405.

It is not an unprimeable number, because it can be changed into a prime (96129421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2830 + ... + 14151.

It is an arithmetic number, because the mean of its divisors is an integer number (6291831).

Almost surely, 2^96129441 is an apocalyptic number.

96129441 is the 5661-st octagonal number.

It is an amenable number.

96129441 is a deficient number, since it is larger than the sum of its proper divisors (54874503).

96129441 is a wasteful number, since it uses less digits than its factorization.

96129441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17041 (or 17038 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 96129441 is about 9804.5622543793. The cubic root of 96129441 is about 458.0914003687.

The spelling of 96129441 in words is "ninety-six million, one hundred twenty-nine thousand, four hundred forty-one".