331993 has 8 divisors (see below), whose sum is σ = 358560. Its totient is φ = 306240.

The previous prime is 331973. The next prime is 331997. The reversal of 331993 is 399133.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 331993 - 2¹³ = 323801 is a prime.

It is a super-2 number, since 2×331993² = 220438704098, which contains 22 as substring.

It is a Duffinian number.

331993 is a modest number, since divided by 993 gives 331 as remainder.

331993 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (331997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 838 + ... + 1168.

It is an arithmetic number, because the mean of its divisors is an integer number (44820).

2³³¹⁹⁹³ is an apocalyptic number.

It is an amenable number.

331993 is a deficient number, since it is larger than the sum of its proper divisors (26567).

331993 is a wasteful number, since it uses less digits than its factorization.

331993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407.

The product of its digits is 2187, while the sum is 28.

The square root of 331993 is about 576.1883372648. The cubic root of 331993 is about 69.2430690714.

The spelling of 331993 in words is "three hundred thirty-one thousand, nine hundred ninety-three".