390951 has 18 divisors (see below), whose sum is σ = 622440. Its totient is φ = 236280.

The previous prime is 390893. The next prime is 390953. The reversal of 390951 is 159093.

It is not a de Polignac number, because 390951 - 2¹⁰ = 389927 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390953) 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, 910 + ... + 1268.

It is an arithmetic number, because the mean of its divisors is an integer number (34580).

2³⁹⁰⁹⁵¹ is an apocalyptic number.

390951 is a deficient number, since it is larger than the sum of its proper divisors (231489).

390951 is a wasteful number, since it uses less digits than its factorization.

390951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 390951 is about 625.2607456094. The cubic root of 390951 is about 73.1207733696.

The spelling of 390951 in words is "three hundred ninety thousand, nine hundred fifty-one".