83964761 has 8 divisors (see below), whose sum is σ = 86534784. Its totient is φ = 81419680.

The previous prime is 83964733. The next prime is 83964779. The reversal of 83964761 is 16746938.

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 83964761 - 2¹⁴ = 83948377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83964721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 716 + ... + 12978.

It is an arithmetic number, because the mean of its divisors is an integer number (10816848).

Almost surely, 2^83964761 is an apocalyptic number.

It is an amenable number.

83964761 is a deficient number, since it is larger than the sum of its proper divisors (2570023).

83964761 is a wasteful number, since it uses less digits than its factorization.

83964761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12471.

The product of its digits is 217728, while the sum is 44.

The square root of 83964761 is about 9163.2287431887. The cubic root of 83964761 is about 437.8906634090.

The spelling of 83964761 in words is "eighty-three million, nine hundred sixty-four thousand, seven hundred sixty-one".