35988 has 12 divisors (see below), whose sum is σ = 84000. Its totient is φ = 11992.

The previous prime is 35983. The next prime is 35993. The reversal of 35988 is 88953.

It is an interprime number because it is at equal distance from previous prime (35983) and next prime (35993).

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

It is a super-2 number, since 2×35988² = 2590272288, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35983) by changing a digit.

35988 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 3 ways as a sum of consecutive naturals, for example, 1488 + ... + 1511.

It is an arithmetic number, because the mean of its divisors is an integer number (7000).

2³⁵⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

35988 is an abundant number, since it is smaller than the sum of its proper divisors (48012).

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 (42000).

35988 is a wasteful number, since it uses less digits than its factorization.

35988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 3004 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 35988 is about 189.7050341978. The cubic root of 35988 is about 33.0156032732.

The spelling of 35988 in words is "thirty-five thousand, nine hundred eighty-eight".