993406121 has 2 divisors, whose sum is σ = 993406122. Its totient is φ = 993406120.

The previous prime is 993406109. The next prime is 993406123. The reversal of 993406121 is 121604399.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 554084521 + 439321600 = 23539^2 + 20960^2 .

It is a cyclic number.

It is not a de Polignac number, because 993406121 - 2¹⁴ = 993389737 is a prime.

Together with 993406123, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_50529248 and since 993406121 and 50529248 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (993406123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496703060 + 496703061.

It is an arithmetic number, because the mean of its divisors is an integer number (496703061).

Almost surely, 2^993406121 is an apocalyptic number.

It is an amenable number.

993406121 is a deficient number, since it is larger than the sum of its proper divisors (1).

993406121 is an equidigital number, since it uses as much as digits as its factorization.

993406121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 993406121 is about 31518.3457846379. The cubic root of 993406121 is about 997.7971915311.

The spelling of 993406121 in words is "nine hundred ninety-three million, four hundred six thousand, one hundred twenty-one".