397962 has 12 divisors (see below), whose sum is σ = 862290. Its totient is φ = 132648.

The previous prime is 397951. The next prime is 397963. The reversal of 397962 is 269793.

It can be written as a sum of positive squares in only one way, i.e., 385641 + 12321 = 621^2 + 111^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 397962.

It is not an unprimeable number, because it can be changed into a prime (397963) by changing a digit.

397962 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 11037 + ... + 11072.

2³⁹⁷⁹⁶² is an apocalyptic number.

397962 is an abundant number, since it is smaller than the sum of its proper divisors (464328).

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

397962 is a wasteful number, since it uses less digits than its factorization.

397962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22117 (or 22114 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 397962 is about 630.8422940799. The cubic root of 397962 is about 73.5552825796. Note that the first 3 decimals are identical.

It can be divided in two parts, 39 and 7962, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 397962 in words is "three hundred ninety-seven thousand, nine hundred sixty-two".