381357 has 6 divisors (see below), whose sum is σ = 550862. Its totient is φ = 254232.

The previous prime is 381347. The next prime is 381371. The reversal of 381357 is 753183.

It can be written as a sum of positive squares in only one way, i.e., 236196 + 145161 = 486^2 + 381^2 .

It is not a de Polignac number, because 381357 - 2¹⁰ = 380333 is a prime.

It is a super-2 number, since 2×381357² = 290866322898, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 381357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21178 + ... + 21195.

2³⁸¹³⁵⁷ is an apocalyptic number.

It is an amenable number.

381357 is a deficient number, since it is larger than the sum of its proper divisors (169505).

381357 is a wasteful number, since it uses less digits than its factorization.

381357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42379 (or 42376 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 381357 is about 617.5410917502. The cubic root of 381357 is about 72.5176809830.

The spelling of 381357 in words is "three hundred eighty-one thousand, three hundred fifty-seven".