381953 has 8 divisors (see below), whose sum is σ = 448896. Its totient is φ = 320400.

The previous prime is 381949. The next prime is 381977. The reversal of 381953 is 359183.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 381953 - 2² = 381949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (381943) 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 7 ways as a sum of consecutive naturals, for example, 1193 + ... + 1478.

It is an arithmetic number, because the mean of its divisors is an integer number (56112).

It is a Proth number, since it is equal to 373 ⋅ 2¹⁰ + 1 and 373 < 2¹⁰.

2³⁸¹⁹⁵³ is an apocalyptic number.

It is an amenable number.

381953 is a deficient number, since it is larger than the sum of its proper divisors (66943).

381953 is a wasteful number, since it uses less digits than its factorization.

381953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695.

The product of its digits is 3240, while the sum is 29.

The square root of 381953 is about 618.0234623378. The cubic root of 381953 is about 72.5554391656. Note that the first 3 decimals are identical.

Subtracting from 381953 its sum of digits (29), we obtain a square (381924 = 618²).

It can be divided in two parts, 38 and 1953, that added together give a palindrome (1991).

The spelling of 381953 in words is "three hundred eighty-one thousand, nine hundred fifty-three".