82947272 has 32 divisors (see below), whose sum is σ = 158761080. Its totient is φ = 40619520.

The previous prime is 82947247. The next prime is 82947287. The reversal of 82947272 is 27274928.

It can be written as a sum of positive squares in 4 ways, for example, as 78393316 + 4553956 = 8854^2 + 2134^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100622 + ... + 101442.

Almost surely, 2^82947272 is an apocalyptic number.

It is an amenable number.

82947272 is a deficient number, since it is larger than the sum of its proper divisors (75813808).

82947272 is a wasteful number, since it uses less digits than its factorization.

82947272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1069 counting only the distinct ones).

The product of its digits is 112896, while the sum is 41.

The square root of 82947272 is about 9107.5392944527. The cubic root of 82947272 is about 436.1146767901.

It can be divided in two parts, 829472 and 72, that multiplied together give a square (59721984 = 7728²).

The spelling of 82947272 in words is "eighty-two million, nine hundred forty-seven thousand, two hundred seventy-two".