35706 has 16 divisors (see below), whose sum is σ = 78048. Its totient is φ = 10800.

The previous prime is 35677. The next prime is 35729. The reversal of 35706 is 60753.

35706 = 4² + 5² + ... + 47².

It is a Curzon number.

It is a plaindrome in base 13.

It is an unprimeable number.

35706 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205 + ... + 336.

It is an arithmetic number, because the mean of its divisors is an integer number (4878).

2³⁵⁷⁰⁶ is an apocalyptic number.

35706 is an abundant number, since it is smaller than the sum of its proper divisors (42342).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39024).

35706 is a wasteful number, since it uses less digits than its factorization.

35706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 35706 is about 188.9603132936. The cubic root of 35706 is about 32.9291408863.

It can be divided in two parts, 35 and 706, that added together give a triangular number (741 = T₃₈).

The spelling of 35706 in words is "thirty-five thousand, seven hundred six".