972005 has 8 divisors (see below), whose sum is σ = 1204224. Its totient is φ = 752400.

The previous prime is 972001. The next prime is 972017. The reversal of 972005 is 500279.

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

It is not a de Polignac number, because 972005 - 2² = 972001 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2981 + ... + 3290.

It is an arithmetic number, because the mean of its divisors is an integer number (150528).

2⁹⁷²⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

972005 is a deficient number, since it is larger than the sum of its proper divisors (232219).

972005 is a wasteful number, since it uses less digits than its factorization.

972005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6307.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 972005 is about 985.9031392586. The cubic root of 972005 is about 99.0579873188.

The spelling of 972005 in words is "nine hundred seventy-two thousand, five".