35556 has 12 divisors (see below), whose sum is σ = 82992. Its totient is φ = 11848.

The previous prime is 35543. The next prime is 35569. The reversal of 35556 is 65553.

It is an interprime number because it is at equal distance from previous prime (35543) and next prime (35569).

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a plaindrome in base 10.

It is an unprimeable 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, 1470 + ... + 1493.

It is an arithmetic number, because the mean of its divisors is an integer number (6916).

2³⁵⁵⁵⁶ is an apocalyptic number.

It is an amenable number.

35556 is an abundant number, since it is smaller than the sum of its proper divisors (47436).

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 (41496).

35556 is a wasteful number, since it uses less digits than its factorization.

35556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2968 counting only the distinct ones).

The product of its digits is 2250, while the sum is 24.

The square root of 35556 is about 188.5629868240. The cubic root of 35556 is about 32.8829646690.

The spelling of 35556 in words is "thirty-five thousand, five hundred fifty-six".