86820253 has 16 divisors (see below), whose sum is σ = 98822080. Its totient is φ = 75613824.

The previous prime is 86820203. The next prime is 86820259. The reversal of 86820253 is 35202868.

It is not a de Polignac number, because 86820253 - 2⁹ = 86819741 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86820259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76750 + ... + 77872.

It is an arithmetic number, because the mean of its divisors is an integer number (6176380).

Almost surely, 2^86820253 is an apocalyptic number.

It is an amenable number.

86820253 is a deficient number, since it is larger than the sum of its proper divisors (12001827).

86820253 is a wasteful number, since it uses less digits than its factorization.

86820253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468.

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 86820253 is about 9317.7386205023. The cubic root of 86820253 is about 442.7993918003.

The spelling of 86820253 in words is "eighty-six million, eight hundred twenty thousand, two hundred fifty-three".