82358094 has 96 divisors (see below), whose sum is σ = 209551104. Its totient is φ = 21116160.

The previous prime is 82358093. The next prime is 82358099. The reversal of 82358094 is 49085328.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82358093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290877 + ... + 291159.

It is an arithmetic number, because the mean of its divisors is an integer number (2182824).

Almost surely, 2^82358094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82358094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104775552).

82358094 is an abundant number, since it is smaller than the sum of its proper divisors (127193010).

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

82358094 is a wasteful number, since it uses less digits than its factorization.

82358094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 82358094 is about 9075.1360320383. The cubic root of 82358094 is about 435.0796419115.

The spelling of 82358094 in words is "eighty-two million, three hundred fifty-eight thousand, ninety-four".