82361232 has 80 divisors (see below), whose sum is σ = 239359680. Its totient is φ = 27111168.

The previous prime is 82361117. The next prime is 82361233. The reversal of 82361232 is 23216328.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 82361196 and 82361205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82361233) 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 15 ways as a sum of consecutive naturals, for example, 34708 + ... + 37004.

It is an arithmetic number, because the mean of its divisors is an integer number (2991996).

Almost surely, 2^82361232 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 82361232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119679840).

82361232 is an abundant number, since it is smaller than the sum of its proper divisors (156998448).

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

82361232 is a wasteful number, since it uses less digits than its factorization.

82361232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2385 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 82361232 is about 9075.3089203619. The cubic root of 82361232 is about 435.0851676285.

The spelling of 82361232 in words is "eighty-two million, three hundred sixty-one thousand, two hundred thirty-two".