82607316 has 48 divisors (see below), whose sum is σ = 213857280. Its totient is φ = 24605920.

The previous prime is 82607303. The next prime is 82607351. The reversal of 82607316 is 61370628.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2485 + ... + 13091.

It is an arithmetic number, because the mean of its divisors is an integer number (4455360).

Almost surely, 2^82607316 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 82607316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106928640).

82607316 is an abundant number, since it is smaller than the sum of its proper divisors (131249964).

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

82607316 is a wasteful number, since it uses less digits than its factorization.

82607316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10684 (or 10682 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 82607316 is about 9088.8566937762. The cubic root of 82607316 is about 435.5180615931.

It can be divided in two parts, 8260 and 7316, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 82607316 in words is "eighty-two million, six hundred seven thousand, three hundred sixteen".