86553 has 12 divisors (see below), whose sum is σ = 127920. Its totient is φ = 56376.

The previous prime is 86539. The next prime is 86561. The reversal of 86553 is 35568.

86553 is a `hidden beast` number, since 8 + 655 + 3 = 666.

It is not a de Polignac number, because 86553 - 2⁸ = 86297 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (3600) is a multiple of the sum of its prime divisors (225).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (86533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 450 + ... + 612.

It is an arithmetic number, because the mean of its divisors is an integer number (10660).

2⁸⁶⁵⁵³ is an apocalyptic number.

It is an amenable number.

86553 is a deficient number, since it is larger than the sum of its proper divisors (41367).

86553 is a wasteful number, since it uses less digits than its factorization.

86553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 225 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 86553 is about 294.1989123025. The cubic root of 86553 is about 44.2344578185.

It can be divided in two parts, 8 and 6553, that added together give a 8-th power (6561 = 3⁸).

The spelling of 86553 in words is "eighty-six thousand, five hundred fifty-three".