393629 has 2 divisors, whose sum is σ = 393630. Its totient is φ = 393628.

The previous prime is 393611. The next prime is 393637. The reversal of 393629 is 926393.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235225 + 158404 = 485^2 + 398^2 .

It is a cyclic number.

It is not a de Polignac number, because 393629 - 2⁸ = 393373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 393595 and 393604.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 393629.

It is not a weakly prime, because it can be changed into another prime (393649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 196814 + 196815.

It is an arithmetic number, because the mean of its divisors is an integer number (196815).

2³⁹³⁶²⁹ is an apocalyptic number.

It is an amenable number.

393629 is a deficient number, since it is larger than the sum of its proper divisors (1).

393629 is an equidigital number, since it uses as much as digits as its factorization.

393629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8748, while the sum is 32.

The square root of 393629 is about 627.3985973845. The cubic root of 393629 is about 73.2873517991.

The spelling of 393629 in words is "three hundred ninety-three thousand, six hundred twenty-nine".