96964141 has 8 divisors (see below), whose sum is σ = 103686264. Its totient is φ = 90355200.

The previous prime is 96964129. The next prime is 96964151. The reversal of 96964141 is 14146969.

It can be written as a sum of positive squares in 4 ways, for example, as 63266116 + 33698025 = 7954^2 + 5805^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 96964141 - 2¹¹ = 96962093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 96964094 and 96964103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96964151) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26520 + ... + 29953.

It is an arithmetic number, because the mean of its divisors is an integer number (12960783).

Almost surely, 2^96964141 is an apocalyptic number.

It is an amenable number.

96964141 is a deficient number, since it is larger than the sum of its proper divisors (6722123).

96964141 is a wasteful number, since it uses less digits than its factorization.

96964141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56591.

The product of its digits is 46656, while the sum is 40.

The square root of 96964141 is about 9847.0371686107. The cubic root of 96964141 is about 459.4134632116.

The spelling of 96964141 in words is "ninety-six million, nine hundred sixty-four thousand, one hundred forty-one".