973791 has 48 divisors (see below), whose sum is σ = 1834560. Its totient is φ = 483840.

The previous prime is 973789. The next prime is 973801. The reversal of 973791 is 197379.

It is not a de Polignac number, because 973791 - 2¹ = 973789 is a prime.

It is a nude number because it is divisible by every one of its digits.

973791 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23731 + ... + 23771.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

2⁹⁷³⁷⁹¹ is an apocalyptic number.

973791 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

973791 is a deficient number, since it is larger than the sum of its proper divisors (860769).

973791 is a wasteful number, since it uses less digits than its factorization.

973791 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 93 counting only the distinct ones).

The product of its digits is 11907, while the sum is 36.

The square root of 973791 is about 986.8084920591. The cubic root of 973791 is about 99.1186212035.

It can be divided in two parts, 973 and 791, that added together give a square (1764 = 42²).

The spelling of 973791 in words is "nine hundred seventy-three thousand, seven hundred ninety-one".