193400 has 24 divisors (see below), whose sum is σ = 450120. Its totient is φ = 77280.

The previous prime is 193393. The next prime is 193423. The reversal of 193400 is 4391.

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

193400 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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 284 + ... + 683.

It is an arithmetic number, because the mean of its divisors is an integer number (18755).

2¹⁹³⁴⁰⁰ is an apocalyptic number.

193400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193400 is an abundant number, since it is smaller than the sum of its proper divisors (256720).

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

193400 is a wasteful number, since it uses less digits than its factorization.

193400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 193400 is about 439.7726685459. The cubic root of 193400 is about 57.8298620851.

Adding to 193400 its reverse (4391), we get a palindrome (197791).

The spelling of 193400 in words is "one hundred ninety-three thousand, four hundred".