348993 has 12 divisors (see below), whose sum is σ = 533988. Its totient is φ = 218880.

The previous prime is 348991. The next prime is 349007. The reversal of 348993 is 399843.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 106929 = 492^2 + 327^2 .

It is not a de Polignac number, because 348993 - 2¹ = 348991 is a prime.

It is a super-2 number, since 2×348993² = 243592228098, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348991) 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, 988 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (44499).

2³⁴⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

348993 is a deficient number, since it is larger than the sum of its proper divisors (184995).

348993 is a wasteful number, since it uses less digits than its factorization.

348993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2301 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 348993 is about 590.7562949305. The cubic root of 348993 is about 70.4053354470.

The spelling of 348993 in words is "three hundred forty-eight thousand, nine hundred ninety-three".