390971 has 12 divisors (see below), whose sum is σ = 465120. Its totient is φ = 327600.

The previous prime is 390967. The next prime is 390989. The reversal of 390971 is 179093.

390971 = T₃₅₈ + T₃₅₉ + ... + T₃₆₃.

It is not a de Polignac number, because 390971 - 2² = 390967 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (390961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3821 + ... + 3921.

It is an arithmetic number, because the mean of its divisors is an integer number (38760).

2³⁹⁰⁹⁷¹ is an apocalyptic number.

390971 is a deficient number, since it is larger than the sum of its proper divisors (74149).

390971 is a wasteful number, since it uses less digits than its factorization.

390971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 29.

The square root of 390971 is about 625.2767387325. The cubic root of 390971 is about 73.1220202356.

The spelling of 390971 in words is "three hundred ninety thousand, nine hundred seventy-one".