82963872 has 96 divisors (see below), whose sum is σ = 244157760. Its totient is φ = 27406080.

The previous prime is 82963847. The next prime is 82963877. The reversal of 82963872 is 27836928.

82963872 is a `hidden beast` number, since 8 + 2 + 9 + 638 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (82963877) 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, 112818 + ... + 113550.

It is an arithmetic number, because the mean of its divisors is an integer number (2543310).

Almost surely, 2^82963872 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 82963872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122078880).

82963872 is an abundant number, since it is smaller than the sum of its proper divisors (161193888).

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

82963872 is a wasteful number, since it uses less digits than its factorization.

82963872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 869 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 82963872 is about 9108.4505817400. The cubic root of 82963872 is about 436.1437676434.

The spelling of 82963872 in words is "eighty-two million, nine hundred sixty-three thousand, eight hundred seventy-two".