82110834 has 80 divisors (see below), whose sum is σ = 200352768. Its totient is φ = 24984288.

The previous prime is 82110827. The next prime is 82110841. The reversal of 82110834 is 43801128.

It is an interprime number because it is at equal distance from previous prime (82110827) and next prime (82110841).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82110798 and 82110807.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 267309 + ... + 267615.

Almost surely, 2^82110834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82110834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100176384).

82110834 is an abundant number, since it is smaller than the sum of its proper divisors (118241934).

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

82110834 is a wasteful number, since it uses less digits than its factorization.

82110834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 82110834 is about 9061.5028554871. The cubic root of 82110834 is about 434.6437987716.

It can be divided in two parts, 82110 and 834, that added together give a square (82944 = 288²).

The spelling of 82110834 in words is "eighty-two million, one hundred ten thousand, eight hundred thirty-four".