35612 has 12 divisors (see below), whose sum is σ = 64680. Its totient is φ = 17136.

The previous prime is 35603. The next prime is 35617. The reversal of 35612 is 21653.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35617) by changing a digit.

35612 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 38 + ... + 269.

It is an arithmetic number, because the mean of its divisors is an integer number (5390).

2³⁵⁶¹² is an apocalyptic number.

It is an amenable number.

35612 is a deficient number, since it is larger than the sum of its proper divisors (29068).

35612 is a wasteful number, since it uses less digits than its factorization.

35612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 338 counting only the distinct ones).

The product of its digits is 180, while the sum is 17.

The square root of 35612 is about 188.7114198982. The cubic root of 35612 is about 32.9002189544.

It can be divided in two parts, 3 and 5612, that multiplied together give a triangular number (16836 = T₁₈₃).

The spelling of 35612 in words is "thirty-five thousand, six hundred twelve".