378301 has 16 divisors (see below), whose sum is σ = 501120. Its totient is φ = 277440.

The previous prime is 378289. The next prime is 378317. The reversal of 378301 is 103873.

It is not a de Polignac number, because 378301 - 2⁵ = 378269 is a prime.

It is a super-2 number, since 2×378301² = 286223293202, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378361) 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, 22245 + ... + 22261.

It is an arithmetic number, because the mean of its divisors is an integer number (31320).

378301 is a Friedman number, since it can be written as 17^3*(80-3), using all its digits and the basic arithmetic operations.

2³⁷⁸³⁰¹ is an apocalyptic number.

It is an amenable number.

378301 is a deficient number, since it is larger than the sum of its proper divisors (122819).

378301 is an equidigital number, since it uses as much as digits as its factorization.

378301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 378301 is about 615.0617855143. The cubic root of 378301 is about 72.3234547070.

It can be divided in two parts, 37 and 8301, that added together give a palindrome (8338).

The spelling of 378301 in words is "three hundred seventy-eight thousand, three hundred one".