82370508 has 144 divisors (see below), whose sum is σ = 231662592. Its totient is φ = 22668800.

The previous prime is 82370501. The next prime is 82370531. The reversal of 82370508 is 80507328.

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 (82370501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1160113 + ... + 1160183.

It is an arithmetic number, because the mean of its divisors is an integer number (1608768).

Almost surely, 2^82370508 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 82370508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115831296).

82370508 is an abundant number, since it is smaller than the sum of its proper divisors (149292084).

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

82370508 is a wasteful number, since it uses less digits than its factorization.

82370508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 82370508 is about 9075.8199629565. The cubic root of 82370508 is about 435.1015009544.

The spelling of 82370508 in words is "eighty-two million, three hundred seventy thousand, five hundred eight".