35064 has 24 divisors (see below), whose sum is σ = 95160. Its totient is φ = 11664.

The previous prime is 35059. The next prime is 35069. The reversal of 35064 is 46053.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (35059) and next prime (35069).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35069) 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 5 ways as a sum of consecutive naturals, for example, 172 + ... + 315.

It is an arithmetic number, because the mean of its divisors is an integer number (3965).

2³⁵⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

35064 is an abundant number, since it is smaller than the sum of its proper divisors (60096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35064 is a wasteful number, since it uses less digits than its factorization.

35064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 35064 is about 187.2538384119. The cubic root of 35064 is about 32.7305888896.

It can be divided in two parts, 350 and 64, that added together give a palindrome (414).

The spelling of 35064 in words is "thirty-five thousand, sixty-four".