972085 has 8 divisors (see below), whose sum is σ = 1171800. Its totient is φ = 774144.

The previous prime is 972079. The next prime is 972091. The reversal of 972085 is 580279.

It is an interprime number because it is at equal distance from previous prime (972079) and next prime (972091).

It can be written as a sum of positive squares in 4 ways, for example, as 23409 + 948676 = 153^2 + 974^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 972085 - 2¹⁵ = 939317 is a prime.

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, 1941 + ... + 2389.

It is an arithmetic number, because the mean of its divisors is an integer number (146475).

2⁹⁷²⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

972085 is a deficient number, since it is larger than the sum of its proper divisors (199715).

972085 is a wasteful number, since it uses less digits than its factorization.

972085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 972085 is about 985.9437103608. The cubic root of 972085 is about 99.0607048705.

The spelling of 972085 in words is "nine hundred seventy-two thousand, eighty-five".