293216 has 72 divisors (see below), whose sum is σ = 775656. Its totient is φ = 107520.

The previous prime is 293213. The next prime is 293221. The reversal of 293216 is 612392.

293216 = T₂₃ + T₂₄ + ... + T₁₂₀.

It is a junction number, because it is equal to n+sod(n) for n = 293191 and 293200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293213) 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, 17240 + ... + 17256.

It is an arithmetic number, because the mean of its divisors is an integer number (10773).

2²⁹³²¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 293216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387828).

293216 is an abundant number, since it is smaller than the sum of its proper divisors (482440).

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

293216 is a wasteful number, since it uses less digits than its factorization.

293216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 37 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 293216 is about 541.4942289628. The cubic root of 293216 is about 66.4348392194.

The spelling of 293216 in words is "two hundred ninety-three thousand, two hundred sixteen".