82904733 has 48 divisors (see below), whose sum is σ = 135532800. Its totient is φ = 48657024.

The previous prime is 82904729. The next prime is 82904741. The reversal of 82904733 is 33740928.

It is not a de Polignac number, because 82904733 - 2² = 82904729 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82904033) 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 47 ways as a sum of consecutive naturals, for example, 1049388 + ... + 1049466.

It is an arithmetic number, because the mean of its divisors is an integer number (2823600).

Almost surely, 2^82904733 is an apocalyptic number.

It is an amenable number.

82904733 is a deficient number, since it is larger than the sum of its proper divisors (52628067).

82904733 is a wasteful number, since it uses less digits than its factorization.

82904733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 82904733 is about 9105.2036221053. The cubic root of 82904733 is about 436.0401111289.

The spelling of 82904733 in words is "eighty-two million, nine hundred four thousand, seven hundred thirty-three".