2085272 has 32 divisors (see below), whose sum is σ = 4665600. Its totient is φ = 854304.

The previous prime is 2085257. The next prime is 2085287. The reversal of 2085272 is 2725802.

It is an interprime number because it is at equal distance from previous prime (2085257) and next prime (2085287).

It is a d-powerful number, because it can be written as 2 + 0 + 8³ + 5⁹ + 2⁹ + 7² + 2¹⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479 + ... + 2097.

It is an arithmetic number, because the mean of its divisors is an integer number (145800).

2^2085272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332800).

2085272 is an abundant number, since it is smaller than the sum of its proper divisors (2580328).

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

2085272 is a wasteful number, since it uses less digits than its factorization.

2085272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 2085272 is about 1444.0470906449. The cubic root of 2085272 is about 127.7578429448.

The spelling of 2085272 in words is "two million, eighty-five thousand, two hundred seventy-two".