82811232 has 72 divisors (see below), whose sum is σ = 269143056. Its totient is φ = 23659776.

The previous prime is 82811231. The next prime is 82811237. The reversal of 82811232 is 23211828.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 82811196 and 82811205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82811231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18523 + ... + 22554.

It is an arithmetic number, because the mean of its divisors is an integer number (3738098).

Almost surely, 2^82811232 is an apocalyptic number.

It is an amenable number.

82811232 is an abundant number, since it is smaller than the sum of its proper divisors (186331824).

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

82811232 is a wasteful number, since it uses less digits than its factorization.

82811232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41100 (or 41089 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 82811232 is about 9100.0676920559. The cubic root of 82811232 is about 435.8761256257.

The spelling of 82811232 in words is "eighty-two million, eight hundred eleven thousand, two hundred thirty-two".