82457004 has 144 divisors (see below), whose sum is σ = 242349408. Its totient is φ = 21676032.

The previous prime is 82456999. The next prime is 82457009. The reversal of 82457004 is 40075428.

It is an interprime number because it is at equal distance from previous prime (82456999) and next prime (82457009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82457009) 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 47 ways as a sum of consecutive naturals, for example, 729652 + ... + 729764.

It is an arithmetic number, because the mean of its divisors is an integer number (1682982).

Almost surely, 2^82457004 is an apocalyptic number.

82457004 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82457004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121174704).

82457004 is an abundant number, since it is smaller than the sum of its proper divisors (159892404).

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

82457004 is a wasteful number, since it uses less digits than its factorization.

82457004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 82457004 is about 9080.5839019305. The cubic root of 82457004 is about 435.2537454687.

The spelling of 82457004 in words is "eighty-two million, four hundred fifty-seven thousand, four".