193332972 has 48 divisors (see below), whose sum is σ = 517916672. Its totient is φ = 54984960.

The previous prime is 193332967. The next prime is 193332977. The reversal of 193332972 is 279233391.

It is an interprime number because it is at equal distance from previous prime (193332967) and next prime (193332977).

It is a self number, because there is not a number n which added to its sum of digits gives 193332972.

It is not an unprimeable number, because it can be changed into a prime (193332977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13572 + ... + 23892.

Almost surely, 2^193332972 is an apocalyptic number.

193332972 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 193332972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258958336).

193332972 is an abundant number, since it is smaller than the sum of its proper divisors (324583700).

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

193332972 is a wasteful number, since it uses less digits than its factorization.

193332972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10558 (or 10556 counting only the distinct ones).

The product of its digits is 61236, while the sum is 39.

The square root of 193332972 is about 13904.4227496146. The cubic root of 193332972 is about 578.2318047893.

The spelling of 193332972 in words is "one hundred ninety-three million, three hundred thirty-two thousand, nine hundred seventy-two".