882385 has 16 divisors (see below), whose sum is σ = 1282176. Its totient is φ = 569088.

The previous prime is 882377. The next prime is 882389. The reversal of 882385 is 583288.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 882385 - 2³ = 882377 is a prime.

882385 is a lucky number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 882385.

It is not an unprimeable number, because it can be changed into a prime (882389) 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, 147 + ... + 1336.

It is an arithmetic number, because the mean of its divisors is an integer number (80136).

2⁸⁸²³⁸⁵ is an apocalyptic number.

882385 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

882385 is a deficient number, since it is larger than the sum of its proper divisors (399791).

882385 is a wasteful number, since it uses less digits than its factorization.

882385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512.

The product of its digits is 15360, while the sum is 34.

The square root of 882385 is about 939.3535010847. The cubic root of 882385 is about 95.9148912938.

The spelling of 882385 in words is "eight hundred eighty-two thousand, three hundred eighty-five".