362385 has 12 divisors (see below), whose sum is σ = 628212. Its totient is φ = 193248.

The previous prime is 362381. The next prime is 362393. The reversal of 362385 is 583263.

It can be written as a sum of positive squares in 2 ways, for example, as 207936 + 154449 = 456^2 + 393^2 .

It is not a de Polignac number, because 362385 - 2² = 362381 is a prime.

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

It is a d-powerful number, because it can be written as 3⁴ + 6⁷ + 3⁷ + 2¹¹ + 8 + 5⁷ .

362385 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 362385.

It is not an unprimeable number, because it can be changed into a prime (362381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3982 + ... + 4071.

It is an arithmetic number, because the mean of its divisors is an integer number (52351).

2³⁶²³⁸⁵ is an apocalyptic number.

It is an amenable number.

362385 is a deficient number, since it is larger than the sum of its proper divisors (265827).

362385 is a wasteful number, since it uses less digits than its factorization.

362385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8064 (or 8061 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 362385 is about 601.9842190623. The cubic root of 362385 is about 71.2946165614.

It can be divided in two parts, 362 and 385, that added together give a palindrome (747).

The spelling of 362385 in words is "three hundred sixty-two thousand, three hundred eighty-five".