397638 has 12 divisors (see below), whose sum is σ = 861588. Its totient is φ = 132540.

The previous prime is 397633. The next prime is 397643. The reversal of 397638 is 836793.

It is an interprime number because it is at equal distance from previous prime (397633) and next prime (397643).

It is a d-powerful number, because it can be written as 3² + 9 + 6⁷ + 7⁶ + 3³ + 8 .

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397633) 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 5 ways as a sum of consecutive naturals, for example, 11028 + ... + 11063.

It is an arithmetic number, because the mean of its divisors is an integer number (71799).

2³⁹⁷⁶³⁸ is an apocalyptic number.

397638 is an abundant number, since it is smaller than the sum of its proper divisors (463950).

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

397638 is a wasteful number, since it uses less digits than its factorization.

397638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22099 (or 22096 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 397638 is about 630.5854422677. The cubic root of 397638 is about 73.5353155291.

It can be divided in two parts, 397 and 638, that added together give a triangular number (1035 = T₄₅).

The spelling of 397638 in words is "three hundred ninety-seven thousand, six hundred thirty-eight".