36998 has 8 divisors (see below), whose sum is σ = 59808. Its totient is φ = 17064.

The previous prime is 36997. The next prime is 37003. The reversal of 36998 is 89963.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a plaindrome in base 9.

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 36998.

It is not an unprimeable number, because it can be changed into a prime (36997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 686 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (7476).

2³⁶⁹⁹⁸ is an apocalyptic number.

36998 is a deficient number, since it is larger than the sum of its proper divisors (22810).

36998 is a wasteful number, since it uses less digits than its factorization.

36998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438.

The product of its digits is 11664, while the sum is 35.

The square root of 36998 is about 192.3486417940. The cubic root of 36998 is about 33.3216181053.

Subtracting from 36998 its sum of digits (35), we obtain a palindrome (36963).

It can be divided in two parts, 3699 and 8, that multiplied together give a palindrome (29592).

The spelling of 36998 in words is "thirty-six thousand, nine hundred ninety-eight".