823147542 has 128 divisors (see below), whose sum is σ = 2199859200. Its totient is φ = 223171200.

The previous prime is 823147541. The next prime is 823147553. The reversal of 823147542 is 245741328.

It is a happy number.

823147542 is a `hidden beast` number, since 82 + 31 + 4 + 7 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 823147497 and 823147506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823147541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 668067 + ... + 669297.

It is an arithmetic number, because the mean of its divisors is an integer number (17186400).

Almost surely, 2^823147542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823147542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099929600).

823147542 is an abundant number, since it is smaller than the sum of its proper divisors (1376711658).

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

823147542 is a wasteful number, since it uses less digits than its factorization.

823147542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1333 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 823147542 is about 28690.5479557293. The cubic root of 823147542 is about 937.1862220313.

The spelling of 823147542 in words is "eight hundred twenty-three million, one hundred forty-seven thousand, five hundred forty-two".