58734 has 24 divisors (see below), whose sum is σ = 137592. Its totient is φ = 18000.

The previous prime is 58733. The next prime is 58741. The reversal of 58734 is 43785.

58734 = T₅₂ + T₅₃ + ... + T₇₈.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 58698 and 58707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58733) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (5733).

2⁵⁸⁷³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68796).

58734 is an abundant number, since it is smaller than the sum of its proper divisors (78858).

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

58734 is a wasteful number, since it uses less digits than its factorization.

58734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 269 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 58734 is about 242.3509851434. The cubic root of 58734 is about 38.8713710973.

The spelling of 58734 in words is "fifty-eight thousand, seven hundred thirty-four".