83882761 has 8 divisors (see below), whose sum is σ = 88893000. Its totient is φ = 79013760.

The previous prime is 83882759. The next prime is 83882779. The reversal of 83882761 is 16728838.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15721225 + 68161536 = 3965^2 + 8256^2 .

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 83882761 - 2¹ = 83882759 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83882731) 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 7 ways as a sum of consecutive naturals, for example, 34086 + ... + 36463.

It is an arithmetic number, because the mean of its divisors is an integer number (11111625).

Almost surely, 2^83882761 is an apocalyptic number.

It is an amenable number.

83882761 is a deficient number, since it is larger than the sum of its proper divisors (5010239).

83882761 is a wasteful number, since it uses less digits than its factorization.

With its successor (83882762) it forms an eRAP, since the sums of their prime factors are consecutive (70619 and 70620).

83882761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70619.

The product of its digits is 129024, while the sum is 43.

The square root of 83882761 is about 9158.7532448472. The cubic root of 83882761 is about 437.7480689473.

The spelling of 83882761 in words is "eighty-three million, eight hundred eighty-two thousand, seven hundred sixty-one".