957993 has 8 divisors (see below), whose sum is σ = 1318656. Its totient is φ = 618000.

The previous prime is 957991. The next prime is 958007. The reversal of 957993 is 399759.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 957993 - 2¹ = 957991 is a prime.

957993 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 957993.

It is not an unprimeable number, because it can be changed into a prime (957991) 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 7 ways as a sum of consecutive naturals, for example, 5058 + ... + 5243.

It is an arithmetic number, because the mean of its divisors is an integer number (164832).

2⁹⁵⁷⁹⁹³ is an apocalyptic number.

957993 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

957993 is a deficient number, since it is larger than the sum of its proper divisors (360663).

957993 is a wasteful number, since it uses less digits than its factorization.

957993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10335.

The product of its digits is 76545, while the sum is 42.

The square root of 957993 is about 978.7711683535. The cubic root of 957993 is about 98.5796893488.

The spelling of 957993 in words is "nine hundred fifty-seven thousand, nine hundred ninety-three".