86463 has 12 divisors (see below), whose sum is σ = 134680. Its totient is φ = 53136.

The previous prime is 86461. The next prime is 86467. The reversal of 86463 is 36468.

It is not a de Polignac number, because 86463 - 2¹ = 86461 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86463.

It is not an unprimeable number, because it can be changed into a prime (86461) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 253 + ... + 486.

2⁸⁶⁴⁶³ is an apocalyptic number.

86463 is a deficient number, since it is larger than the sum of its proper divisors (48217).

86463 is a wasteful number, since it uses less digits than its factorization.

86463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 755 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 86463 is about 294.0459147820. The cubic root of 86463 is about 44.2191204650.

Subtracting from 86463 its sum of digits (27), we obtain a square (86436 = 294²).

It can be divided in two parts, 8646 and 3, that added together give a square (8649 = 93²).

The spelling of 86463 in words is "eighty-six thousand, four hundred sixty-three".