35535 has 16 divisors (see below), whose sum is σ = 59904. Its totient is φ = 17952.

The previous prime is 35533. The next prime is 35537. The reversal of 35535 is 53553.

35535 = T₁₄ + T₁₅ + ... + T₅₉.

It is an interprime number because it is at equal distance from previous prime (35533) and next prime (35537).

It is not a de Polignac number, because 35535 - 2¹ = 35533 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35535.

It is not an unprimeable number, because it can be changed into a prime (35531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294 + ... + 396.

It is an arithmetic number, because the mean of its divisors is an integer number (3744).

2³⁵⁵³⁵ is an apocalyptic number.

35535 is a deficient number, since it is larger than the sum of its proper divisors (24369).

35535 is a wasteful number, since it uses less digits than its factorization.

35535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134.

The product of its digits is 1125, while the sum is 21.

The square root of 35535 is about 188.5072942886. The cubic root of 35535 is about 32.8764896413.

The spelling of 35535 in words is "thirty-five thousand, five hundred thirty-five".