972973 has 4 divisors (see below), whose sum is σ = 976860. Its totient is φ = 969088.

The previous prime is 972967. The next prime is 972977. The reversal of 972973 is 379279.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 379279 = 79 ⋅4801.

It can be written as a sum of positive squares in 2 ways, for example, as 26244 + 946729 = 162^2 + 973^2 .

It is a cyclic number.

It is not a de Polignac number, because 972973 - 2⁵ = 972941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972977) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1540 + ... + 2077.

It is an arithmetic number, because the mean of its divisors is an integer number (244215).

2⁹⁷²⁹⁷³ is an apocalyptic number.

It is an amenable number.

972973 is a deficient number, since it is larger than the sum of its proper divisors (3887).

972973 is a wasteful number, since it uses less digits than its factorization.

972973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886.

The product of its digits is 23814, while the sum is 37.

The square root of 972973 is about 986.3939375321. The cubic root of 972973 is about 99.0908596868.

The spelling of 972973 in words is "nine hundred seventy-two thousand, nine hundred seventy-three".