57035 has 16 divisors (see below), whose sum is σ = 80352. Its totient is φ = 38400.

The previous prime is 56999. The next prime is 57037. The reversal of 57035 is 53075.

57035 = T₉ + T₁₀ + ... + T₆₉.

It is not a de Polignac number, because 57035 - 2⁸ = 56779 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 56998 and 57016.

It is not an unprimeable number, because it can be changed into a prime (57037) 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 15 ways as a sum of consecutive naturals, for example, 905 + ... + 965.

It is an arithmetic number, because the mean of its divisors is an integer number (5022).

2⁵⁷⁰³⁵ is an apocalyptic number.

57035 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57035 is a deficient number, since it is larger than the sum of its proper divisors (23317).

57035 is a wasteful number, since it uses less digits than its factorization.

57035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94.

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

The square root of 57035 is about 238.8200159116. The cubic root of 57035 is about 38.4928867502.

The spelling of 57035 in words is "fifty-seven thousand, thirty-five".