711993 has 4 divisors (see below), whose sum is σ = 949328. Its totient is φ = 474660.

The previous prime is 711983. The next prime is 712007. The reversal of 711993 is 399117.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 399117 = 3 ⋅133039.

It is not a de Polignac number, because 711993 - 2⁶ = 711929 is a prime.

It is a D-number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 711993.

It is not an unprimeable number, because it can be changed into a prime (711913) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 118663 + ... + 118668.

It is an arithmetic number, because the mean of its divisors is an integer number (237332).

2⁷¹¹⁹⁹³ is an apocalyptic number.

It is an amenable number.

711993 is a deficient number, since it is larger than the sum of its proper divisors (237335).

711993 is a wasteful number, since it uses less digits than its factorization.

711993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237334.

The product of its digits is 1701, while the sum is 30.

The square root of 711993 is about 843.7967764812. The cubic root of 711993 is about 89.2946092776.

The spelling of 711993 in words is "seven hundred eleven thousand, nine hundred ninety-three".