972947 has 8 divisors (see below), whose sum is σ = 1007616. Its totient is φ = 938952.

The previous prime is 972943. The next prime is 972967. The reversal of 972947 is 749279.

It is a happy number.

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 972947 - 2² = 972943 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 972947.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972947.

It is not an unprimeable number, because it can be changed into a prime (972941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5888 + ... + 6050.

It is an arithmetic number, because the mean of its divisors is an integer number (125952).

2⁹⁷²⁹⁴⁷ is an apocalyptic number.

972947 is a deficient number, since it is larger than the sum of its proper divisors (34669).

972947 is a wasteful number, since it uses less digits than its factorization.

972947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337.

The product of its digits is 31752, while the sum is 38.

The square root of 972947 is about 986.3807581254. The cubic root of 972947 is about 99.0899770363.

The spelling of 972947 in words is "nine hundred seventy-two thousand, nine hundred forty-seven".