6972953 has 8 divisors (see below), whose sum is σ = 7529928. Its totient is φ = 6418944.

The previous prime is 6972899. The next prime is 6972961. The reversal of 6972953 is 3592796.

It can be written as a sum of positive squares in 4 ways, for example, as 71824 + 6901129 = 268^2 + 2627^2 .

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 6972953 - 2²² = 2778649 is a prime.

It is a d-powerful number, because it can be written as 6⁵ + 9⁴ + 7³ + 2²¹ + 9⁷ + 5⁷ + 3³ .

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 6972953.

It is not an unprimeable number, because it can be changed into a prime (6972253) 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, 8351 + ... + 9147.

It is an arithmetic number, because the mean of its divisors is an integer number (941241).

Almost surely, 2^6972953 is an apocalyptic number.

It is an amenable number.

6972953 is a deficient number, since it is larger than the sum of its proper divisors (556975).

6972953 is a wasteful number, since it uses less digits than its factorization.

6972953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483.

The product of its digits is 102060, while the sum is 41.

The square root of 6972953 is about 2640.6349615197. The cubic root of 6972953 is about 191.0464238461.

The spelling of 6972953 in words is "six million, nine hundred seventy-two thousand, nine hundred fifty-three".