36988 has 12 divisors (see below), whose sum is σ = 74032. Its totient is φ = 15840.

The previous prime is 36979. The next prime is 36997. The reversal of 36988 is 88963.

It is an interprime number because it is at equal distance from previous prime (36979) and next prime (36997).

36988 is an admirable number.

It is a super-2 number, since 2×36988² = 2736224288, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁷ + 6⁴ + 9³ + 8 + 8⁵ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36988.

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, 633 + ... + 688.

2³⁶⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

36988 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (37016).

36988 is a wasteful number, since it uses less digits than its factorization.

36988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1330 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 36988 is about 192.3226455725. The cubic root of 36988 is about 33.3186157249.

It can be divided in two parts, 3698 and 8, that multiplied together give a square (29584 = 172²).

The spelling of 36988 in words is "thirty-six thousand, nine hundred eighty-eight".