35057 has 4 divisors (see below), whose sum is σ = 38256. Its totient is φ = 31860.

The previous prime is 35053. The next prime is 35059. The reversal of 35057 is 75053.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 75053 = 11 ⋅6823.

It is a cyclic number.

It is not a de Polignac number, because 35057 - 2² = 35053 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35051) 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, 1583 + ... + 1604.

It is an arithmetic number, because the mean of its divisors is an integer number (9564).

2³⁵⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

35057 is a deficient number, since it is larger than the sum of its proper divisors (3199).

35057 is a wasteful number, since it uses less digits than its factorization.

35057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198.

The product of its (nonzero) digits is 525, while the sum is 20.

The square root of 35057 is about 187.2351462733. The cubic root of 35057 is about 32.7284106881.

The spelling of 35057 in words is "thirty-five thousand, fifty-seven".