35075 has 12 divisors (see below), whose sum is σ = 46128. Its totient is φ = 26400.

The previous prime is 35069. The next prime is 35081. The reversal of 35075 is 57053.

35075 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (35069) and next prime (35081).

It is not a de Polignac number, because 35075 - 2⁴ = 35059 is a prime.

It is a Duffinian number.

35075 is strictly pandigital in base 6.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 545 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (3844).

2³⁵⁰⁷⁵ is an apocalyptic number.

35075 is a deficient number, since it is larger than the sum of its proper divisors (11053).

35075 is a wasteful number, since it uses less digits than its factorization.

35075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 89 counting only the distinct ones).

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

The square root of 35075 is about 187.2832080033. The cubic root of 35075 is about 32.7340111920.

It can be divided in two parts, 3 and 5075, that multiplied together give a triangular number (15225 = T₁₇₄).

The spelling of 35075 in words is "thirty-five thousand, seventy-five".