385361 has 6 divisors (see below), whose sum is σ = 399186. Its totient is φ = 372000.

The previous prime is 385351. The next prime is 385379. The reversal of 385361 is 163583.

It can be written as a sum of positive squares in only one way, i.e., 384400 + 961 = 620^2 + 31^2 .

It is not a de Polignac number, because 385361 - 2¹⁸ = 123217 is a prime.

It is a Duffinian number.

Its product of digits (2160) is a multiple of the sum of its prime divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 385361.

It is not an unprimeable number, because it can be changed into a prime (385321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 761 + ... + 1161.

It is an arithmetic number, because the mean of its divisors is an integer number (66531).

2³⁸⁵³⁶¹ is an apocalyptic number.

385361 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

385361 is a deficient number, since it is larger than the sum of its proper divisors (13825).

385361 is an equidigital number, since it uses as much as digits as its factorization.

385361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 432 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 385361 is about 620.7745162295. The cubic root of 385361 is about 72.7705940288.

The spelling of 385361 in words is "three hundred eighty-five thousand, three hundred sixty-one".