354198 has 32 divisors (see below), whose sum is σ = 806400. Its totient is φ = 102816.

The previous prime is 354181. The next prime is 354209. The reversal of 354198 is 891453.

It is a super-3 number, since 3×354198³ = 133309030039231176, which contains 333 as substring.

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 354198.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1363 + ... + 1601.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2³⁵⁴¹⁹⁸ is an apocalyptic number.

354198 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 354198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200).

354198 is an abundant number, since it is smaller than the sum of its proper divisors (452202).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

354198 is a wasteful number, since it uses less digits than its factorization.

354198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276.

The product of its digits is 4320, while the sum is 30.

The square root of 354198 is about 595.1453603953. The cubic root of 354198 is about 70.7536259884.

The spelling of 354198 in words is "three hundred fifty-four thousand, one hundred ninety-eight".