82306458 has 48 divisors (see below), whose sum is σ = 193074336. Its totient is φ = 25189920.

The previous prime is 82306439. The next prime is 82306459. The reversal of 82306458 is 85460328.

82306458 is a `hidden beast` number, since 8 + 2 + 3 + 0 + 645 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82306459) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48541 + ... + 50207.

It is an arithmetic number, because the mean of its divisors is an integer number (4022382).

Almost surely, 2^82306458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82306458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96537168).

82306458 is an abundant number, since it is smaller than the sum of its proper divisors (110767878).

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

82306458 is a wasteful number, since it uses less digits than its factorization.

82306458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 82306458 is about 9072.2906699466. The cubic root of 82306458 is about 434.9886957031.

The spelling of 82306458 in words is "eighty-two million, three hundred six thousand, four hundred fifty-eight".