193950 has 36 divisors (see below), whose sum is σ = 522288. Its totient is φ = 51600.

The previous prime is 193943. The next prime is 193951. The reversal of 193950 is 59391.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193951) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 235 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (14508).

2¹⁹³⁹⁵⁰ is an apocalyptic number.

193950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 193950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261144).

193950 is an abundant number, since it is smaller than the sum of its proper divisors (328338).

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

193950 is a wasteful number, since it uses less digits than its factorization.

193950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 193950 is about 440.3975476771. The cubic root of 193950 is about 57.8846299596.

It can be divided in two parts, 19 and 3950, that added together give a square (3969 = 63²).

The spelling of 193950 in words is "one hundred ninety-three thousand, nine hundred fifty".