82914084 has 96 divisors (see below), whose sum is σ = 238049280. Its totient is φ = 24746400.

The previous prime is 82914071. The next prime is 82914113. The reversal of 82914084 is 48041928.

It is a super-4 number, since 4×82914084⁴ (a number of 33 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83857 + ... + 84839.

It is an arithmetic number, because the mean of its divisors is an integer number (2479680).

Almost surely, 2^82914084 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 82914084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119024640).

82914084 is an abundant number, since it is smaller than the sum of its proper divisors (155135196).

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

82914084 is a wasteful number, since it uses less digits than its factorization.

82914084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 82914084 is about 9105.7171052037. The cubic root of 82914084 is about 436.0565044744.

The spelling of 82914084 in words is "eighty-two million, nine hundred fourteen thousand, eighty-four".