37198 has 8 divisors (see below), whose sum is σ = 63792. Its totient is φ = 15936.

The previous prime is 37189. The next prime is 37199. The reversal of 37198 is 89173.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37199) by changing a digit.

37198 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 1315 + ... + 1342.

It is an arithmetic number, because the mean of its divisors is an integer number (7974).

2³⁷¹⁹⁸ is an apocalyptic number.

37198 is a deficient number, since it is larger than the sum of its proper divisors (26594).

37198 is a wasteful number, since it uses less digits than its factorization.

37198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666.

The product of its digits is 1512, while the sum is 28.

The square root of 37198 is about 192.8678303917. The cubic root of 37198 is about 33.3815524361.

The spelling of 37198 in words is "thirty-seven thousand, one hundred ninety-eight".