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4098 = 23683

4098 has 8 divisors (see below), whose sum is σ = 8208. Its totient is φ = 1364.

The previous prime is 4093. The next prime is 4099. The reversal of 4098 is 8904.

4098 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

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

4098 is an admirable number.

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4098.

It is not an unprimeable number, because it can be changed into a prime (4091) by changing a digit.

4098 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 (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 336 + ... + 347.

It is an arithmetic number, because the mean of its divisors is an integer number (1026).

4098 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 (4104).

4098 is a wasteful number, since it uses less digits than its factorization.

4098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 4098 is about 64.0156230931. The cubic root of 4098 is about 16.0026037429.

The spelling of 4098 in words is "four thousand, ninety-eight".

Divisors: 1 2 3 6 683 1366 2049 4098