193972 has 12 divisors (see below), whose sum is σ = 344736. Its totient is φ = 95480.

The previous prime is 193957. The next prime is 193979. The reversal of 193972 is 279391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193979) by changing a digit.

193972 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 3 ways as a sum of consecutive naturals, for example, 58 + ... + 625.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2¹⁹³⁹⁷² is an apocalyptic number.

It is an amenable number.

193972 is a deficient number, since it is larger than the sum of its proper divisors (150764).

193972 is a wasteful number, since it uses less digits than its factorization.

193972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 756 counting only the distinct ones).

The product of its digits is 3402, while the sum is 31.

The square root of 193972 is about 440.4225244013. The cubic root of 193972 is about 57.8868185198.

The spelling of 193972 in words is "one hundred ninety-three thousand, nine hundred seventy-two".