7972085 has 12 divisors (see below), whose sum is σ = 10516044. Its totient is φ = 5797440.

The previous prime is 7972061. The next prime is 7972087. The reversal of 7972085 is 5802797.

It can be written as a sum of positive squares in 2 ways, for example, as 4008004 + 3964081 = 2002^2 + 1991^2 .

It is not a de Polignac number, because 7972085 - 2¹² = 7967989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7972087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5984 + ... + 7193.

It is an arithmetic number, because the mean of its divisors is an integer number (876337).

Almost surely, 2^7972085 is an apocalyptic number.

It is an amenable number.

7972085 is a deficient number, since it is larger than the sum of its proper divisors (2543959).

7972085 is a wasteful number, since it uses less digits than its factorization.

7972085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13204 (or 13193 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 7972085 is about 2823.4880909967. The cubic root of 7972085 is about 199.7671039023.

It can be divided in two parts, 797 and 2085, that added together give a palindrome (2882).

The spelling of 7972085 in words is "seven million, nine hundred seventy-two thousand, eighty-five".