792332541 has 96 divisors (see below), whose sum is σ = 1578839808. Its totient is φ = 369515520.

The previous prime is 792332479. The next prime is 792332573. The reversal of 792332541 is 145233297.

It is not a de Polignac number, because 792332541 - 2⁹ = 792332029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 792332496 and 792332505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (792332741) 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 95 ways as a sum of consecutive naturals, for example, 332145 + ... + 334521.

It is an arithmetic number, because the mean of its divisors is an integer number (16446248).

Almost surely, 2^792332541 is an apocalyptic number.

It is an amenable number.

792332541 is a deficient number, since it is larger than the sum of its proper divisors (786507267).

792332541 is a wasteful number, since it uses less digits than its factorization.

792332541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2448 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 792332541 is about 28148.4021038495. The cubic root of 792332541 is about 925.3424749871.

It can be divided in two parts, 792 and 332541, that added together give a palindrome (333333).

The spelling of 792332541 in words is "seven hundred ninety-two million, three hundred thirty-two thousand, five hundred forty-one".