397065375 has 112 divisors (see below), whose sum is σ = 856483680. Its totient is φ = 181515600.

The previous prime is 397065371. The next prime is 397065433. The reversal of 397065375 is 573560793.

The cubic root of 397065375 is 735.

It is a perfect power (a cube), and thus also a powerful number.

It is not a de Polignac number, because 397065375 - 2² = 397065371 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 397065375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397065371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 56723622 + ... + 56723628.

Almost surely, 2^397065375 is an apocalyptic number.

397065375 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

397065375 is an abundant number, since it is smaller than the sum of its proper divisors (459418305).

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

397065375 is an frugal number, since it uses more digits than its factorization.

397065375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 45.

The square root of 397065375 is about 19926.4993162372.

The spelling of 397065375 in words is "three hundred ninety-seven million, sixty-five thousand, three hundred seventy-five".