82964952 has 128 divisors (see below), whose sum is σ = 270681600. Its totient is φ = 23048064.

The previous prime is 82964951. The next prime is 82964953. The reversal of 82964952 is 25946928.

It is an interprime number because it is at equal distance from previous prime (82964951) and next prime (82964953).

It is a junction number, because it is equal to n+sod(n) for n = 82964898 and 82964907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82964951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55203 + ... + 56685.

It is an arithmetic number, because the mean of its divisors is an integer number (2114700).

Almost surely, 2^82964952 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 82964952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135340800).

82964952 is an abundant number, since it is smaller than the sum of its proper divisors (187716648).

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

82964952 is a wasteful number, since it uses less digits than its factorization.

82964952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1532 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 82964952 is about 9108.5098671517. The cubic root of 82964952 is about 436.1456601668.

The spelling of 82964952 in words is "eighty-two million, nine hundred sixty-four thousand, nine hundred fifty-two".