397764 has 48 divisors (see below), whose sum is σ = 1075200. Its totient is φ = 127008.

The previous prime is 397763. The next prime is 397799. The reversal of 397764 is 467793.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3³ + 9² + 7 + 7⁶ + 6⁷ + 4³ .

It is not an unprimeable number, because it can be changed into a prime (397763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3069 + ... + 3195.

It is an arithmetic number, because the mean of its divisors is an integer number (22400).

2³⁹⁷⁷⁶⁴ 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 397764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537600).

397764 is an abundant number, since it is smaller than the sum of its proper divisors (677436).

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

397764 is a wasteful number, since it uses less digits than its factorization.

397764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 397764 is about 630.6853415135. The cubic root of 397764 is about 73.5430817816.

The spelling of 397764 in words is "three hundred ninety-seven thousand, seven hundred sixty-four".