972993 has 12 divisors (see below), whose sum is σ = 1509360. Its totient is φ = 555912.

The previous prime is 972991. The next prime is 973001. The reversal of 972993 is 399279.

972993 = 8⁵ + 9⁵ + ... + 13⁵.

972993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 972993 - 2¹ = 972991 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (972991) 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, 3163 + ... + 3456.

It is an arithmetic number, because the mean of its divisors is an integer number (125780).

2⁹⁷²⁹⁹³ is an apocalyptic number.

It is an amenable number.

972993 is a deficient number, since it is larger than the sum of its proper divisors (536367).

972993 is a wasteful number, since it uses less digits than its factorization.

972993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6636 (or 6629 counting only the distinct ones).

The product of its digits is 30618, while the sum is 39.

The square root of 972993 is about 986.4040754174. The cubic root of 972993 is about 99.0915386380.

The spelling of 972993 in words is "nine hundred seventy-two thousand, nine hundred ninety-three".