711953 has 8 divisors (see below), whose sum is σ = 790560. Its totient is φ = 635680.

The previous prime is 711947. The next prime is 711959. The reversal of 711953 is 359117.

711953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (711947) and next prime (711959).

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 711953 - 2⁴ = 711937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (711959) 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, 101 + ... + 1197.

It is an arithmetic number, because the mean of its divisors is an integer number (98820).

2⁷¹¹⁹⁵³ is an apocalyptic number.

It is an amenable number.

711953 is a deficient number, since it is larger than the sum of its proper divisors (78607).

711953 is a wasteful number, since it uses less digits than its factorization.

711953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167.

The product of its digits is 945, while the sum is 26.

The square root of 711953 is about 843.7730737586. The cubic root of 711953 is about 89.2929370462.

Subtracting from 711953 its reverse (359117), we obtain a square (352836 = 594²).

The spelling of 711953 in words is "seven hundred eleven thousand, nine hundred fifty-three".