86829761 has 12 divisors (see below), whose sum is σ = 96255552. Its totient is φ = 78163008.

The previous prime is 86829739. The next prime is 86829803. The reversal of 86829761 is 16792868.

It is not a de Polignac number, because 86829761 - 2⁶ = 86829697 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (86829661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116 + ... + 13178.

It is an arithmetic number, because the mean of its divisors is an integer number (8021296).

Almost surely, 2^86829761 is an apocalyptic number.

It is an amenable number.

86829761 is a deficient number, since it is larger than the sum of its proper divisors (9425791).

86829761 is a wasteful number, since it uses less digits than its factorization.

86829761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13120 (or 13103 counting only the distinct ones).

The product of its digits is 290304, while the sum is 47.

The square root of 86829761 is about 9318.2488161671. The cubic root of 86829761 is about 442.8155553981.

The spelling of 86829761 in words is "eighty-six million, eight hundred twenty-nine thousand, seven hundred sixty-one".