82034148 has 48 divisors (see below), whose sum is σ = 221235840. Its totient is φ = 23172864.

The previous prime is 82034111. The next prime is 82034159. The reversal of 82034148 is 84143028.

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, 1990 + ... + 12962.

It is an arithmetic number, because the mean of its divisors is an integer number (4609080).

Almost surely, 2^82034148 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 82034148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110617920).

82034148 is an abundant number, since it is smaller than the sum of its proper divisors (139201692).

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

82034148 is a wasteful number, since it uses less digits than its factorization.

82034148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11076 (or 11074 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 82034148 is about 9057.2704497547. The cubic root of 82034148 is about 434.5084472618.

The spelling of 82034148 in words is "eighty-two million, thirty-four thousand, one hundred forty-eight".