82810350 has 240 divisors, whose sum is σ = 276553728. Its totient is φ = 17962560.

The previous prime is 82810339. The next prime is 82810369. The reversal of 82810350 is 5301828.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 651987 + ... + 652113.

Almost surely, 2^82810350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82810350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138276864).

82810350 is an abundant number, since it is smaller than the sum of its proper divisors (193743378).

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

82810350 is a wasteful number, since it uses less digits than its factorization.

82810350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 82810350 is about 9100.0192307489. The cubic root of 82810350 is about 435.8745781540.

The spelling of 82810350 in words is "eighty-two million, eight hundred ten thousand, three hundred fifty".