82235076 has 96 divisors (see below), whose sum is σ = 243317760. Its totient is φ = 20995200.

The previous prime is 82235071. The next prime is 82235081. The reversal of 82235076 is 67053228.

It is an interprime number because it is at equal distance from previous prime (82235071) and next prime (82235081).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (82235071) 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, 55635 + ... + 57093.

It is an arithmetic number, because the mean of its divisors is an integer number (2534560).

Almost surely, 2^82235076 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 82235076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121658880).

82235076 is an abundant number, since it is smaller than the sum of its proper divisors (161082684).

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

82235076 is a wasteful number, since it uses less digits than its factorization.

82235076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 82235076 is about 9068.3557495281. The cubic root of 82235076 is about 434.8629083124.

The spelling of 82235076 in words is "eighty-two million, two hundred thirty-five thousand, seventy-six".