82935952 has 40 divisors (see below), whose sum is σ = 177792192. Its totient is φ = 37161600.

The previous prime is 82935947. The next prime is 82935959. The reversal of 82935952 is 25953928.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 82935899 and 82935908.

It is not an unprimeable number, because it can be changed into a prime (82935959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9178 + ... + 15814.

Almost surely, 2^82935952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82935952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88896096).

82935952 is an abundant number, since it is smaller than the sum of its proper divisors (94856240).

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

82935952 is a wasteful number, since it uses less digits than its factorization.

82935952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6727 (or 6721 counting only the distinct ones).

The product of its digits is 194400, while the sum is 43.

The square root of 82935952 is about 9106.9178101046. The cubic root of 82935952 is about 436.0948367053.

The spelling of 82935952 in words is "eighty-two million, nine hundred thirty-five thousand, nine hundred fifty-two".