193941 has 16 divisors (see below), whose sum is σ = 313920. Its totient is φ = 117360.

The previous prime is 193939. The next prime is 193943. The reversal of 193941 is 149391.

It is an interprime number because it is at equal distance from previous prime (193939) and next prime (193943).

It is not a de Polignac number, because 193941 - 2¹ = 193939 is a prime.

It is a super-2 number, since 2×193941² = 75226222962, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193943) by changing a digit.

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, 30 + ... + 623.

It is an arithmetic number, because the mean of its divisors is an integer number (19620).

2¹⁹³⁹⁴¹ is an apocalyptic number.

193941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

193941 is a deficient number, since it is larger than the sum of its proper divisors (119979).

193941 is a wasteful number, since it uses less digits than its factorization.

193941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 667 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 193941 is about 440.3873295180. The cubic root of 193941 is about 57.8837345919.

The spelling of 193941 in words is "one hundred ninety-three thousand, nine hundred forty-one".