82310952 has 64 divisors (see below), whose sum is σ = 213696000. Its totient is φ = 26392320.

The previous prime is 82310947. The next prime is 82310953. The reversal of 82310952 is 25901328.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82310953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235674 + ... + 236022.

It is an arithmetic number, because the mean of its divisors is an integer number (3339000).

Almost surely, 2^82310952 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 82310952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106848000).

82310952 is an abundant number, since it is smaller than the sum of its proper divisors (131385048).

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

82310952 is a wasteful number, since it uses less digits than its factorization.

82310952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 82310952 is about 9072.5383438154. The cubic root of 82310952 is about 434.9966124720.

The spelling of 82310952 in words is "eighty-two million, three hundred ten thousand, nine hundred fifty-two".