378873 has 24 divisors (see below), whose sum is σ = 617760. Its totient is φ = 221760.

The previous prime is 378869. The next prime is 378883.

378873 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 378873 - 2² = 378869 is a prime.

It is not an unprimeable number, because it can be changed into a prime (378823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4213 + ... + 4301.

It is an arithmetic number, because the mean of its divisors is an integer number (25740).

2³⁷⁸⁸⁷³ is an apocalyptic number.

378873 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

378873 is a deficient number, since it is larger than the sum of its proper divisors (238887).

378873 is a wasteful number, since it uses less digits than its factorization.

378873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 146 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 378873 is about 615.5266038117. The cubic root of 378873 is about 72.3598879381.

The spelling of 378873 in words is "three hundred seventy-eight thousand, eight hundred seventy-three".