82721958 has 64 divisors (see below), whose sum is σ = 185794560. Its totient is φ = 24343200.

The previous prime is 82721941. The next prime is 82721959. The reversal of 82721958 is 85912728.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82721959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 595053 + ... + 595191.

It is an arithmetic number, because the mean of its divisors is an integer number (2903040).

Almost surely, 2^82721958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82721958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92897280).

82721958 is an abundant number, since it is smaller than the sum of its proper divisors (103072602).

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

82721958 is a wasteful number, since it uses less digits than its factorization.

82721958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353.

The product of its digits is 80640, while the sum is 42.

The square root of 82721958 is about 9095.1612410116. The cubic root of 82721958 is about 435.7194383594.

The spelling of 82721958 in words is "eighty-two million, seven hundred twenty-one thousand, nine hundred fifty-eight".