338610993 has 16 divisors (see below), whose sum is σ = 519446400. Its totient is φ = 192191616.

The previous prime is 338610967. The next prime is 338611001. The reversal of 338610993 is 399016833.

It is not a de Polignac number, because 338610993 - 2⁶ = 338610929 is a prime.

It is a super-2 number, since 2×338610993² = 229314809160892098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338610953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50980 + ... + 57237.

It is an arithmetic number, because the mean of its divisors is an integer number (32465400).

Almost surely, 2^338610993 is an apocalyptic number.

It is an amenable number.

338610993 is a deficient number, since it is larger than the sum of its proper divisors (180835407).

338610993 is a wasteful number, since it uses less digits than its factorization.

338610993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108376.

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 338610993 is about 18401.3856271749. The cubic root of 338610993 is about 697.0014546153.

The spelling of 338610993 in words is "three hundred thirty-eight million, six hundred ten thousand, nine hundred ninety-three".