35368 has 8 divisors (see below), whose sum is σ = 66330. Its totient is φ = 17680.

The previous prime is 35363. The next prime is 35381. The reversal of 35368 is 86353.

It can be written as a sum of positive squares in only one way, i.e., 24964 + 10404 = 158^2 + 102^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (35363) by changing a digit.

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 as a sum of consecutive naturals, namely, 2203 + ... + 2218.

2³⁵³⁶⁸ is an apocalyptic number.

It is an amenable number.

35368 is a deficient number, since it is larger than the sum of its proper divisors (30962).

35368 is a wasteful number, since it uses less digits than its factorization.

35368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427 (or 4423 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 35368 is about 188.0638189552. The cubic root of 35368 is about 32.8249067218.

It can be divided in two parts, 35 and 368, that multiplied together give a triangular number (12880 = T₁₆₀).

The spelling of 35368 in words is "thirty-five thousand, three hundred sixty-eight".