379905 has 32 divisors (see below), whose sum is σ = 675840. Its totient is φ = 181440.

The previous prime is 379903. The next prime is 379909. The reversal of 379905 is 509973.

It is not a de Polignac number, because 379905 - 2¹ = 379903 is a prime.

It is not an unprimeable number, because it can be changed into a prime (379903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8814 + ... + 8856.

It is an arithmetic number, because the mean of its divisors is an integer number (21120).

It is a Proth number, since it is equal to 371 ⋅ 2¹⁰ + 1 and 371 < 2¹⁰.

2³⁷⁹⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

379905 is a deficient number, since it is larger than the sum of its proper divisors (295935).

379905 is a wasteful number, since it uses less digits than its factorization.

379905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101.

The product of its (nonzero) digits is 8505, while the sum is 33.

The square root of 379905 is about 616.3643403053. The cubic root of 379905 is about 72.4255279676.

The spelling of 379905 in words is "three hundred seventy-nine thousand, nine hundred five".