390737 has 2 divisors, whose sum is σ = 390738. Its totient is φ = 390736.

The previous prime is 390727. The next prime is 390739. The reversal of 390737 is 737093.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 364816 + 25921 = 604^2 + 161^2 .

It is a cyclic number.

It is not a de Polignac number, because 390737 - 2⁴ = 390721 is a prime.

Together with 390739, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 390737.

It is not a weakly prime, because it can be changed into another prime (390739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 195368 + 195369.

It is an arithmetic number, because the mean of its divisors is an integer number (195369).

2³⁹⁰⁷³⁷ is an apocalyptic number.

It is an amenable number.

390737 is a deficient number, since it is larger than the sum of its proper divisors (1).

390737 is an equidigital number, since it uses as much as digits as its factorization.

390737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3969, while the sum is 29.

The square root of 390737 is about 625.0895935784. The cubic root of 390737 is about 73.1074292408.

The spelling of 390737 in words is "three hundred ninety thousand, seven hundred thirty-seven".