96825642 has 32 divisors (see below), whose sum is σ = 207531072. Its totient is φ = 30008064.

The previous prime is 96825629. The next prime is 96825643. The reversal of 96825642 is 24652869.

It is a junction number, because it is equal to n+sod(n) for n = 96825594 and 96825603.

It is not an unprimeable number, because it can be changed into a prime (96825643) 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 in 15 ways as a sum of consecutive naturals, for example, 2748 + ... + 14184.

It is an arithmetic number, because the mean of its divisors is an integer number (6485346).

Almost surely, 2^96825642 is an apocalyptic number.

96825642 is an abundant number, since it is smaller than the sum of its proper divisors (110705430).

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

96825642 is a wasteful number, since it uses less digits than its factorization.

96825642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11542.

The product of its digits is 207360, while the sum is 42.

The square root of 96825642 is about 9840.0021341461. The cubic root of 96825642 is about 459.1946241535.

Subtracting from 96825642 its sum of digits (42), we obtain a square (96825600 = 9840²).

The spelling of 96825642 in words is "ninety-six million, eight hundred twenty-five thousand, six hundred forty-two".