993997 has 2 divisors, whose sum is σ = 993998. Its totient is φ = 993996.

The previous prime is 993983. The next prime is 994013. The reversal of 993997 is 799399.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 978121 + 15876 = 989^2 + 126^2 .

It is a cyclic number.

It is not a de Polignac number, because 993997 - 2⁷ = 993869 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (993907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496998 + 496999.

It is an arithmetic number, because the mean of its divisors is an integer number (496999).

2⁹⁹³⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

993997 is a deficient number, since it is larger than the sum of its proper divisors (1).

993997 is an equidigital number, since it uses as much as digits as its factorization.

993997 is an evil number, because the sum of its binary digits is even.

The product of its digits is 137781, while the sum is 46.

The square root of 993997 is about 996.9939819277. The cubic root of 993997 is about 99.7994982592.

It can be divided in two parts, 99 and 3997, that added together give a 12-th power (4096 = 2¹²).

The spelling of 993997 in words is "nine hundred ninety-three thousand, nine hundred ninety-seven".