83201265 has 72 divisors (see below), whose sum is σ = 169926120. Its totient is φ = 37545984.

The previous prime is 83201263. The next prime is 83201273. The reversal of 83201265 is 56210238.

It can be written as a sum of positive squares in 4 ways, for example, as 2039184 + 81162081 = 1428^2 + 9009^2 .

It is not a de Polignac number, because 83201265 - 2¹ = 83201263 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83201263) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 213691 + ... + 214079.

It is an arithmetic number, because the mean of its divisors is an integer number (2360085).

Almost surely, 2^83201265 is an apocalyptic number.

It is an amenable number.

83201265 is an abundant number, since it is smaller than the sum of its proper divisors (86724855).

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

83201265 is a wasteful number, since it uses less digits than its factorization.

83201265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 83201265 is about 9121.4727429292. The cubic root of 83201265 is about 436.5593657325.

The spelling of 83201265 in words is "eighty-three million, two hundred one thousand, two hundred sixty-five".