378505 has 16 divisors (see below), whose sum is σ = 495504. Its totient is φ = 276480.

The previous prime is 378503. The next prime is 378509. The reversal of 378505 is 505873.

It can be written as a sum of positive squares in 8 ways, for example, as 13689 + 364816 = 117^2 + 604^2 .

It is not a de Polignac number, because 378505 - 2¹ = 378503 is a prime.

It is a Duffinian number.

378505 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (378503) by changing a digit.

It is a nontrivial repunit in base 72.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5149 + ... + 5221.

It is an arithmetic number, because the mean of its divisors is an integer number (30969).

2³⁷⁸⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

378505 is a deficient number, since it is larger than the sum of its proper divisors (116999).

378505 is a wasteful number, since it uses less digits than its factorization.

378505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 378505 is about 615.2276001611. The cubic root of 378505 is about 72.3364525874.

The spelling of 378505 in words is "three hundred seventy-eight thousand, five hundred five".