83006042 has 32 divisors (see below), whose sum is σ = 146880000. Its totient is φ = 34444800.

The previous prime is 83006023. The next prime is 83006047. The reversal of 83006042 is 24060038.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 83005999 and 83006017.

It is not an unprimeable number, because it can be changed into a prime (83006047) 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, 65834 + ... + 67082.

It is an arithmetic number, because the mean of its divisors is an integer number (4590000).

Almost surely, 2^83006042 is an apocalyptic number.

83006042 is a deficient number, since it is larger than the sum of its proper divisors (63873958).

83006042 is a wasteful number, since it uses less digits than its factorization.

83006042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 83006042 is about 9110.7651709393. The cubic root of 83006042 is about 436.2176514794.

The spelling of 83006042 in words is "eighty-three million, six thousand, forty-two".