293058 has 32 divisors (see below), whose sum is σ = 669120. Its totient is φ = 96228.

The previous prime is 293021. The next prime is 293071. The reversal of 293058 is 850392.

It is a super-3 number, since 3×293058³ = 75506093049453336, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 293058.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4341 + ... + 4407.

It is an arithmetic number, because the mean of its divisors is an integer number (20910).

293058 is a Friedman number, since it can be written as 9^3*(50*8+2), using all its digits and the basic arithmetic operations.

2²⁹³⁰⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 293058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334560).

293058 is an abundant number, since it is smaller than the sum of its proper divisors (376062).

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

293058 is an frugal number, since it uses more digits than its factorization.

293058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 293058 is about 541.3483167056. The cubic root of 293058 is about 66.4229042289.

The spelling of 293058 in words is "two hundred ninety-three thousand, fifty-eight".