82005952 has 56 divisors (see below), whose sum is σ = 187285376. Its totient is φ = 34898688.

The previous prime is 82005947. The next prime is 82005953. The reversal of 82005952 is 25950028.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82005953) 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 7 ways as a sum of consecutive naturals, for example, 72463 + ... + 73585.

Almost surely, 2^82005952 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 82005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93642688).

82005952 is an abundant number, since it is smaller than the sum of its proper divisors (105279424).

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

82005952 is a wasteful number, since it uses less digits than its factorization.

82005952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 82005952 is about 9055.7137763955. The cubic root of 82005952 is about 434.4586598485.

It can be divided in two parts, 82005 and 952, that multiplied together give a triangular number (78068760 = T₁₂₄₉₅).

The spelling of 82005952 in words is "eighty-two million, five thousand, nine hundred fifty-two".