82579350 has 192 divisors, whose sum is σ = 251412480. Its totient is φ = 17539200.

The previous prime is 82579349. The next prime is 82579363. The reversal of 82579350 is 5397528.

It is a junction number, because it is equal to n+sod(n) for n = 82579299 and 82579308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1399621 + ... + 1399679.

It is an arithmetic number, because the mean of its divisors is an integer number (1309440).

Almost surely, 2^82579350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82579350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125706240).

82579350 is an abundant number, since it is smaller than the sum of its proper divisors (168833130).

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

82579350 is a wasteful number, since it uses less digits than its factorization.

82579350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 82579350 is about 9087.3180862122. The cubic root of 82579350 is about 435.4689090749.

The spelling of 82579350 in words is "eighty-two million, five hundred seventy-nine thousand, three hundred fifty".