10057 has 4 divisors (see below), whose sum is σ = 10260. Its totient is φ = 9856.

The previous prime is 10039. The next prime is 10061. The reversal of 10057 is 75001.

10057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 75001 = 179 ⋅419.

It can be written as a sum of positive squares in 2 ways, for example, as 841 + 9216 = 29^2 + 96^2 .

It is a cyclic number.

It is not a de Polignac number, because 10057 - 2⁷ = 9929 is a prime.

It is a super-2 number, since 2×10057² = 202286498, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10007) 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 3 ways as a sum of consecutive naturals, for example, 33 + ... + 145.

It is an arithmetic number, because the mean of its divisors is an integer number (2565).

2¹⁰⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

10057 is a deficient number, since it is larger than the sum of its proper divisors (203).

10057 is an equidigital number, since it uses as much as digits as its factorization.

10057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202.

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 10057 is about 100.2845950283. The cubic root of 10057 is about 21.5852036297.

Adding to 10057 its reverse (75001), we get a palindrome (85058).

The spelling of 10057 in words is "ten thousand, fifty-seven".