461397 has 16 divisors (see below), whose sum is σ = 665280. Its totient is φ = 283392.

The previous prime is 461393. The next prime is 461407. The reversal of 461397 is 793164.

It is a happy number.

It is not a de Polignac number, because 461397 - 2² = 461393 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 461397.

It is not an unprimeable number, because it can be changed into a prime (461393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4179 + ... + 4287.

It is an arithmetic number, because the mean of its divisors is an integer number (41580).

2⁴⁶¹³⁹⁷ is an apocalyptic number.

It is an amenable number.

461397 is a deficient number, since it is larger than the sum of its proper divisors (203883).

461397 is a wasteful number, since it uses less digits than its factorization.

461397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212.

The product of its digits is 4536, while the sum is 30.

The square root of 461397 is about 679.2620996346. The cubic root of 461397 is about 77.2724926909.

It can be divided in two parts, 461 and 397, that added together give a palindrome (858).

The spelling of 461397 in words is "four hundred sixty-one thousand, three hundred ninety-seven".