9973953 has 12 divisors (see below), whose sum is σ = 15716688. Its totient is φ = 6044760.

The previous prime is 9973933. The next prime is 9973967. The reversal of 9973953 is 3593799.

It is not a de Polignac number, because 9973953 - 2⁵ = 9973921 is a prime.

9973953 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 9973899 and 9973908.

It is not an unprimeable number, because it can be changed into a prime (9973903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50275 + ... + 50472.

It is an arithmetic number, because the mean of its divisors is an integer number (1309724).

Almost surely, 2^9973953 is an apocalyptic number.

It is an amenable number.

9973953 is a deficient number, since it is larger than the sum of its proper divisors (5742735).

9973953 is a wasteful number, since it uses less digits than its factorization.

9973953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100764 (or 100761 counting only the distinct ones).

The product of its digits is 229635, while the sum is 45.

The square root of 9973953 is about 3158.1565825652. The cubic root of 9973953 is about 215.2562511590.

It can be divided in two parts, 997 and 3953, that added together give a triangular number (4950 = T₉₉).

The spelling of 9973953 in words is "nine million, nine hundred seventy-three thousand, nine hundred fifty-three".