82071954 has 60 divisors (see below), whose sum is σ = 195467514. Its totient is φ = 25733376.

The previous prime is 82071949. The next prime is 82072007. The reversal of 82071954 is 45917028.

It can be written as a sum of positive squares in 3 ways, for example, as 69305625 + 12766329 = 8325^2 + 3573^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 45942 + ... + 47694.

Almost surely, 2^82071954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82071954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97733757).

82071954 is an abundant number, since it is smaller than the sum of its proper divisors (113395560).

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

82071954 is a wasteful number, since it uses less digits than its factorization.

82071954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 82071954 is about 9059.3572619695. The cubic root of 82071954 is about 434.5751857437.

The spelling of 82071954 in words is "eighty-two million, seventy-one thousand, nine hundred fifty-four".