397953 has 20 divisors (see below), whose sum is σ = 631620. Its totient is φ = 249696.

The previous prime is 397951. The next prime is 397963. The reversal of 397953 is 359793.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 219024 + 178929 = 468^2 + 423^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=51.

It is not a de Polignac number, because 397953 - 2¹ = 397951 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (25515) is a multiple of the sum of its prime factors (63).

397953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (397951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23401 + ... + 23417.

It is an arithmetic number, because the mean of its divisors is an integer number (31581).

2³⁹⁷⁹⁵³ is an apocalyptic number.

It is an amenable number.

397953 is a deficient number, since it is larger than the sum of its proper divisors (233667).

397953 is an frugal number, since it uses more digits than its factorization.

397953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 20 counting only the distinct ones).

The product of its digits is 25515, while the sum is 36.

The square root of 397953 is about 630.8351607195. The cubic root of 397953 is about 73.5547280857.

The spelling of 397953 in words is "three hundred ninety-seven thousand, nine hundred fifty-three".