711954 has 24 divisors (see below), whose sum is σ = 1585740. Its totient is φ = 230688.

The previous prime is 711947. The next prime is 711959. The reversal of 711954 is 459117.

711954 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 680625 + 31329 = 825^2 + 177^2 .

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 711954.

It is not an unprimeable number, because it can be changed into a prime (711959) by changing a digit.

711954 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132 + ... + 1200.

2⁷¹¹⁹⁵⁴ is an apocalyptic number.

711954 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 711954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792870).

711954 is an abundant number, since it is smaller than the sum of its proper divisors (873786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

711954 is a wasteful number, since it uses less digits than its factorization.

711954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1111 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 711954 is about 843.7736663348. The cubic root of 711954 is about 89.2929788527.

It can be divided in two parts, 71 and 1954, that added together give a square (2025 = 45²).

The spelling of 711954 in words is "seven hundred eleven thousand, nine hundred fifty-four".