386505 has 32 divisors (see below), whose sum is σ = 787200. Its totient is φ = 176256.

The previous prime is 386501. The next prime is 386521. The reversal of 386505 is 505683.

386505 = 25² + 26² + ... + 105².

386505 is a `hidden beast` number, since 3 + 8 + 650 + 5 = 666.

It is not a de Polignac number, because 386505 - 2² = 386501 is a prime.

It is a super-2 number, since 2×386505² = 298772230050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

386505 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (386501) 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 31 ways as a sum of consecutive naturals, for example, 741 + ... + 1149.

It is an arithmetic number, because the mean of its divisors is an integer number (24600).

2³⁸⁶⁵⁰⁵ is an apocalyptic number.

386505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

386505 is an abundant number, since it is smaller than the sum of its proper divisors (400695).

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

386505 is a wasteful number, since it uses less digits than its factorization.

386505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

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

The square root of 386505 is about 621.6952629705. The cubic root of 386505 is about 72.8425329083.

The spelling of 386505 in words is "three hundred eighty-six thousand, five hundred five".