947973 has 16 divisors (see below), whose sum is σ = 1379840. Its totient is φ = 575424.

The previous prime is 947963. The next prime is 947987. The reversal of 947973 is 379749.

It is not a de Polignac number, because 947973 - 2¹⁰ = 946949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a d-powerful number, because it can be written as 9⁵ + 4⁶ + 9⁵ + 7² + 7⁷ + 3⁷ .

It is a Duffinian number.

947973 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (947963) 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 15 ways as a sum of consecutive naturals, for example, 4140 + ... + 4362.

It is an arithmetic number, because the mean of its divisors is an integer number (86240).

2⁹⁴⁷⁹⁷³ is an apocalyptic number.

It is an amenable number.

947973 is a deficient number, since it is larger than the sum of its proper divisors (431867).

947973 is a wasteful number, since it uses less digits than its factorization.

947973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348.

The product of its digits is 47628, while the sum is 39.

The square root of 947973 is about 973.6390501618. The cubic root of 947973 is about 98.2347903603.

The spelling of 947973 in words is "nine hundred forty-seven thousand, nine hundred seventy-three".