381956 has 24 divisors (see below), whose sum is σ = 730296. Its totient is φ = 174080.

The previous prime is 381949. The next prime is 381977. The reversal of 381956 is 659183.

381956 = T₉₆ + T₉₇ + ... + T₁₄₆.

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 348100 = 184^2 + 590^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 381956.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2720 + ... + 2856.

It is an arithmetic number, because the mean of its divisors is an integer number (30429).

2³⁸¹⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

381956 is a deficient number, since it is larger than the sum of its proper divisors (348340).

381956 is a wasteful number, since it uses less digits than its factorization.

381956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 197 counting only the distinct ones).

The product of its digits is 6480, while the sum is 32.

The square root of 381956 is about 618.0258894254. The cubic root of 381956 is about 72.5556291242. Note that the first 3 decimals are identical.

Subtracting from 381956 its sum of digits (32), we obtain a square (381924 = 618²).

The spelling of 381956 in words is "three hundred eighty-one thousand, nine hundred fifty-six".