193281972 has 96 divisors (see below), whose sum is σ = 512698368. Its totient is φ = 56225664.

The previous prime is 193281971. The next prime is 193281997. The reversal of 193281972 is 279182391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193281971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369303 + ... + 369825.

It is an arithmetic number, because the mean of its divisors is an integer number (5340608).

Almost surely, 2^193281972 is an apocalyptic number.

193281972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193281972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256349184).

193281972 is an abundant number, since it is smaller than the sum of its proper divisors (319416396).

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

193281972 is a wasteful number, since it uses less digits than its factorization.

193281972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 667 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 193281972 is about 13902.5886798107. The cubic root of 193281972 is about 578.1809557021.

The spelling of 193281972 in words is "one hundred ninety-three million, two hundred eighty-one thousand, nine hundred seventy-two".