731934 has 48 divisors (see below), whose sum is σ = 1873248. Its totient is φ = 202176.

The previous prime is 731933. The next prime is 731957. The reversal of 731934 is 439137.

It is a junction number, because it is equal to n+sod(n) for n = 731898 and 731907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (731933) 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 23 ways as a sum of consecutive naturals, for example, 4584 + ... + 4740.

It is an arithmetic number, because the mean of its divisors is an integer number (39026).

2⁷³¹⁹³⁴ is an apocalyptic number.

731934 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 731934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936624).

731934 is an abundant number, since it is smaller than the sum of its proper divisors (1141314).

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

731934 is a wasteful number, since it uses less digits than its factorization.

With its successor (731935) it forms an eRAP, since the sums of their prime factors are consecutive (209 and 210).

731934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 206 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 731934 is about 855.5314138008. The cubic root of 731934 is about 90.1205791205.

The spelling of 731934 in words is "seven hundred thirty-one thousand, nine hundred thirty-four".