393961 has 2 divisors, whose sum is σ = 393962. Its totient is φ = 393960.

The previous prime is 393947. The next prime is 393977. The reversal of 393961 is 169393.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 275625 + 118336 = 525^2 + 344^2 .

It is a cyclic number.

It is not a de Polignac number, because 393961 - 2⁵ = 393929 is a prime.

It is a Chen prime.

393961 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (393901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 196980 + 196981.

It is an arithmetic number, because the mean of its divisors is an integer number (196981).

2³⁹³⁹⁶¹ is an apocalyptic number.

393961 is the 336-th centered heptagonal number.

It is an amenable number.

393961 is a deficient number, since it is larger than the sum of its proper divisors (1).

393961 is an equidigital number, since it uses as much as digits as its factorization.

393961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4374, while the sum is 31.

The square root of 393961 is about 627.6631262070. The cubic root of 393961 is about 73.3079503520.

The spelling of 393961 in words is "three hundred ninety-three thousand, nine hundred sixty-one".