86820513 has 24 divisors (see below), whose sum is σ = 132447168. Its totient is φ = 50278656.

The previous prime is 86820497. The next prime is 86820523. The reversal of 86820513 is 31502868.

It is a happy number.

It is not a de Polignac number, because 86820513 - 2⁴ = 86820497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86820523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7420 + ... + 15122.

It is an arithmetic number, because the mean of its divisors is an integer number (5518632).

Almost surely, 2^86820513 is an apocalyptic number.

It is an amenable number.

86820513 is a deficient number, since it is larger than the sum of its proper divisors (45626655).

86820513 is a wasteful number, since it uses less digits than its factorization.

86820513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7753 (or 7736 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 86820513 is about 9317.7525723750. The cubic root of 86820513 is about 442.7998338160.

It can be divided in two parts, 8682051 and 3, that multiplied together give a triangular number (26046153 = T₇₂₁₇).

The spelling of 86820513 in words is "eighty-six million, eight hundred twenty thousand, five hundred thirteen".