96681465 has 64 divisors (see below), whose sum is σ = 184204800. Its totient is φ = 47941632.

The previous prime is 96681463. The next prime is 96681479. The reversal of 96681465 is 56418669.

96681465 = T₁₆ + T₁₇ + ... + T₈₃₃.

96681465 is a nontrivial binomial coefficient, being equal to C(13906, 2).

It is not a de Polignac number, because 96681465 - 2¹ = 96681463 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 96681465.

It is not an unprimeable number, because it can be changed into a prime (96681461) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 236181 + ... + 236589.

It is an arithmetic number, because the mean of its divisors is an integer number (2878200).

Almost surely, 2^96681465 is an apocalyptic number.

96681465 is the 13905-th triangular number and also the 6953-rd hexagonal number.

It is an amenable number.

96681465 is a deficient number, since it is larger than the sum of its proper divisors (87523335).

96681465 is a wasteful number, since it uses less digits than its factorization.

96681465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 537 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 96681465 is about 9832.6733394332. The cubic root of 96681465 is about 458.9665916134.

The spelling of 96681465 in words is "ninety-six million, six hundred eighty-one thousand, four hundred sixty-five".