82432404 has 66 divisors (see below), whose sum is σ = 217003850. Its totient is φ = 27398736.

The previous prime is 82432397. The next prime is 82432409. The reversal of 82432404 is 40423428.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 76527504 + 5904900 = 8748^2 + 2430^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82432409) 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 21 ways as a sum of consecutive naturals, for example, 236022 + ... + 236370.

Almost surely, 2^82432404 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 82432404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108501925).

82432404 is an abundant number, since it is smaller than the sum of its proper divisors (134571446).

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

82432404 is an equidigital number, since it uses as much as digits as its factorization.

82432404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 82432404 is about 9079.2292624429. The cubic root of 82432404 is about 435.2104570210.

The spelling of 82432404 in words is "eighty-two million, four hundred thirty-two thousand, four hundred four".