973953 has 6 divisors (see below), whose sum is σ = 1406834. Its totient is φ = 649296.

The previous prime is 973919. The next prime is 973957. The reversal of 973953 is 359379.

973953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 685584 + 288369 = 828^2 + 537^2 .

It is not a de Polignac number, because 973953 - 2¹⁶ = 908417 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (973957) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54100 + ... + 54117.

2⁹⁷³⁹⁵³ is an apocalyptic number.

It is an amenable number.

973953 is a deficient number, since it is larger than the sum of its proper divisors (432881).

973953 is a wasteful number, since it uses less digits than its factorization.

973953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108223 (or 108220 counting only the distinct ones).

The product of its digits is 25515, while the sum is 36.

The square root of 973953 is about 986.8905714414. The cubic root of 973953 is about 99.1241173611.

The spelling of 973953 in words is "nine hundred seventy-three thousand, nine hundred fifty-three".