82849500 has 288 divisors, whose sum is σ = 299557440. Its totient is φ = 19699200.

The previous prime is 82849499. The next prime is 82849523. The reversal of 82849500 is 594828.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4360491 + ... + 4360509.

It is an arithmetic number, because the mean of its divisors is an integer number (1040130).

Almost surely, 2^82849500 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 82849500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

82849500 is an abundant number, since it is smaller than the sum of its proper divisors (216707940).

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

82849500 is a wasteful number, since it uses less digits than its factorization.

82849500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 82849500 is about 9102.1700709226. The cubic root of 82849500 is about 435.9432563698.

The spelling of 82849500 in words is "eighty-two million, eight hundred forty-nine thousand, five hundred".