131904993 has 32 divisors (see below), whose sum is σ = 195766272. Its totient is φ = 78336000.

The previous prime is 131904991. The next prime is 131905001. The reversal of 131904993 is 399409131.

It is not a de Polignac number, because 131904993 - 2¹ = 131904991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131904991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513121 + ... + 513377.

It is an arithmetic number, because the mean of its divisors is an integer number (6117696).

Almost surely, 2^131904993 is an apocalyptic number.

It is an amenable number.

131904993 is a deficient number, since it is larger than the sum of its proper divisors (63861279).

131904993 is a wasteful number, since it uses less digits than its factorization.

131904993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525.

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 131904993 is about 11484.9898998650. The cubic root of 131904993 is about 509.0421506362.

The spelling of 131904993 in words is "one hundred thirty-one million, nine hundred four thousand, nine hundred ninety-three".