84103965 has 48 divisors (see below), whose sum is σ = 160370496. Its totient is φ = 40435200.

The previous prime is 84103963. The next prime is 84103991. The reversal of 84103965 is 56930148.

84103965 is a nontrivial binomial coefficient, being equal to C(12970, 2).

It is not a de Polignac number, because 84103965 - 2¹ = 84103963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84103963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64197 + ... + 65493.

It is an arithmetic number, because the mean of its divisors is an integer number (3341052).

Almost surely, 2^84103965 is an apocalyptic number.

84103965 is the 12969-th triangular number and also the 6485-th hexagonal number.

It is an amenable number.

84103965 is a deficient number, since it is larger than the sum of its proper divisors (76266531).

84103965 is a wasteful number, since it uses less digits than its factorization.

84103965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 84103965 is about 9170.8213917838. The cubic root of 84103965 is about 438.1325207313.

The spelling of 84103965 in words is "eighty-four million, one hundred three thousand, nine hundred sixty-five".