82003172 has 18 divisors (see below), whose sum is σ = 152445762. Its totient is φ = 38589184.

The previous prime is 82003171. The next prime is 82003177. The reversal of 82003172 is 27130028.

It can be written as a sum of positive squares in 3 ways, for example, as 22033636 + 59969536 = 4694^2 + 7744^2 .

It is a super-3 number, since 3×82003172³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (82003171) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34313 + ... + 36624.

It is an arithmetic number, because the mean of its divisors is an integer number (8469209).

Almost surely, 2^82003172 is an apocalyptic number.

It is an amenable number.

82003172 is a deficient number, since it is larger than the sum of its proper divisors (70442590).

82003172 is a wasteful number, since it uses less digits than its factorization.

82003172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70975 (or 70956 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 82003172 is about 9055.5602808440. The cubic root of 82003172 is about 434.4537504133.

The spelling of 82003172 in words is "eighty-two million, three thousand, one hundred seventy-two".