86653314 has 64 divisors (see below), whose sum is σ = 212780160. Its totient is φ = 26244000.

The previous prime is 86653309. The next prime is 86653327. The reversal of 86653314 is 41335668.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 47214 + ... + 49014.

It is an arithmetic number, because the mean of its divisors is an integer number (3324690).

Almost surely, 2^86653314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86653314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106390080).

86653314 is an abundant number, since it is smaller than the sum of its proper divisors (126126846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86653314 is a wasteful number, since it uses less digits than its factorization.

86653314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1817 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 86653314 is about 9308.7761816471. The cubic root of 86653314 is about 442.5154030835.

The spelling of 86653314 in words is "eighty-six million, six hundred fifty-three thousand, three hundred fourteen".