391952 has 40 divisors (see below), whose sum is σ = 883872. Its totient is φ = 166400.

The previous prime is 391939. The next prime is 391961. The reversal of 391952 is 259193.

It is an unprimeable number.

391952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2927 + ... + 3057.

2³⁹¹⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 391952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441936).

391952 is an abundant number, since it is smaller than the sum of its proper divisors (491920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

391952 is a wasteful number, since it uses less digits than its factorization.

391952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

The product of its digits is 2430, while the sum is 29.

The square root of 391952 is about 626.0606999325. The cubic root of 391952 is about 73.1831268902.

It can be divided in two parts, 39 and 1952, that added together give a palindrome (1991).

The spelling of 391952 in words is "three hundred ninety-one thousand, nine hundred fifty-two".