193225931 has 2 divisors, whose sum is σ = 193225932. Its totient is φ = 193225930.

The previous prime is 193225873. The next prime is 193225933. The reversal of 193225931 is 139522391.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-193225931 is a prime.

It is a super-3 number, since 3×193225931³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 193225933, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 193225891 and 193225900.

It is not a weakly prime, because it can be changed into another prime (193225933) 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 as a sum of consecutive naturals, namely, 96612965 + 96612966.

It is an arithmetic number, because the mean of its divisors is an integer number (96612966).

Almost surely, 2^193225931 is an apocalyptic number.

193225931 is a deficient number, since it is larger than the sum of its proper divisors (1).

193225931 is an equidigital number, since it uses as much as digits as its factorization.

193225931 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14580, while the sum is 35.

The square root of 193225931 is about 13900.5730457417. The cubic root of 193225931 is about 578.1250702157.

The spelling of 193225931 in words is "one hundred ninety-three million, two hundred twenty-five thousand, nine hundred thirty-one".