397312 has 26 divisors (see below), whose sum is σ = 802718. Its totient is φ = 196608.

The previous prime is 397303. The next prime is 397337. The reversal of 397312 is 213793.

397312 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 331776 + 65536 = 576^2 + 256^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4048 + ... + 4144.

397312 is a Friedman number, since it can be written as 97*((3+1)^2)^3, using all its digits and the basic arithmetic operations.

2³⁹⁷³¹² is an apocalyptic number.

397312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401359).

397312 is an abundant number, since it is smaller than the sum of its proper divisors (405406).

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

397312 is an frugal number, since it uses more digits than its factorization.

397312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 99 counting only the distinct ones).

The product of its digits is 1134, while the sum is 25.

The square root of 397312 is about 630.3268993150. The cubic root of 397312 is about 73.5152142753.

The spelling of 397312 in words is "three hundred ninety-seven thousand, three hundred twelve".