82258254 has 80 divisors (see below), whose sum is σ = 200637360. Its totient is φ = 25038720.

The previous prime is 82258249. The next prime is 82258261. The reversal of 82258254 is 45285228.

82258254 is a `hidden beast` number, since 8 + 22 + 582 + 54 = 666.

It is a super-2 number, since 2×82258254² = 13532840702257032, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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, 292594 + ... + 292874.

It is an arithmetic number, because the mean of its divisors is an integer number (2507967).

Almost surely, 2^82258254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82258254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100318680).

82258254 is an abundant number, since it is smaller than the sum of its proper divisors (118379106).

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

82258254 is a wasteful number, since it uses less digits than its factorization.

82258254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 438 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 82258254 is about 9069.6336199430. The cubic root of 82258254 is about 434.9037599221.

The spelling of 82258254 in words is "eighty-two million, two hundred fifty-eight thousand, two hundred fifty-four".