390897 has 18 divisors (see below), whose sum is σ = 613782. Its totient is φ = 239616.

The previous prime is 390893. The next prime is 390953. The reversal of 390897 is 798093.

It can be written as a sum of positive squares in 3 ways, for example, as 41616 + 349281 = 204^2 + 591^2 .

It is not a de Polignac number, because 390897 - 2² = 390893 is a prime.

390897 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1393 + ... + 1649.

It is an arithmetic number, because the mean of its divisors is an integer number (34099).

2³⁹⁰⁸⁹⁷ is an apocalyptic number.

It is an amenable number.

390897 is a deficient number, since it is larger than the sum of its proper divisors (222885).

390897 is a wasteful number, since it uses less digits than its factorization.

390897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 390897 is about 625.2175621334. The cubic root of 390897 is about 73.1174066189.

It can be divided in two parts, 3908 and 97, that added together give a triangular number (4005 = T₈₉).

The spelling of 390897 in words is "three hundred ninety thousand, eight hundred ninety-seven".