193825947 has 16 divisors (see below), whose sum is σ = 299095040. Its totient is φ = 109354752.

The previous prime is 193825927. The next prime is 193825949. The reversal of 193825947 is 749528391.

It is not a de Polignac number, because 193825947 - 2¹⁰ = 193824923 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 193825896 and 193825905.

It is not an unprimeable number, because it can be changed into a prime (193825949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56758 + ... + 60075.

It is an arithmetic number, because the mean of its divisors is an integer number (18693440).

Almost surely, 2^193825947 is an apocalyptic number.

193825947 is a deficient number, since it is larger than the sum of its proper divisors (105269093).

193825947 is a wasteful number, since it uses less digits than its factorization.

193825947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116922.

The product of its digits is 544320, while the sum is 48.

The square root of 193825947 is about 13922.1387365591. The cubic root of 193825947 is about 578.7228606773.

The spelling of 193825947 in words is "one hundred ninety-three million, eight hundred twenty-five thousand, nine hundred forty-seven".