393977 has 2 divisors, whose sum is σ = 393978. Its totient is φ = 393976.

The previous prime is 393961. The next prime is 393989. The reversal of 393977 is 779393.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 383161 + 10816 = 619^2 + 104^2 .

It is a cyclic number.

It is not a de Polignac number, because 393977 - 2⁴ = 393961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 393977.

It is not a weakly prime, because it can be changed into another prime (393947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 196988 + 196989.

It is an arithmetic number, because the mean of its divisors is an integer number (196989).

2³⁹³⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

393977 is a deficient number, since it is larger than the sum of its proper divisors (1).

393977 is an equidigital number, since it uses as much as digits as its factorization.

393977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35721, while the sum is 38.

The square root of 393977 is about 627.6758717682. The cubic root of 393977 is about 73.3089427610.

It can be divided in two parts, 3939 and 77, that multiplied together give a palindrome (303303).

The spelling of 393977 in words is "three hundred ninety-three thousand, nine hundred seventy-seven".