461997 has 16 divisors (see below), whose sum is σ = 696960. Its totient is φ = 302400.

The previous prime is 461983. The next prime is 462013. The reversal of 461997 is 799164.

It is not a de Polignac number, because 461997 - 2⁶ = 461933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461917) 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, 1797 + ... + 2037.

It is an arithmetic number, because the mean of its divisors is an integer number (43560).

461997 is a Friedman number, since it can be written as 71*(9^4-9*6), using all its digits and the basic arithmetic operations.

2⁴⁶¹⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

461997 is a deficient number, since it is larger than the sum of its proper divisors (234963).

461997 is a wasteful number, since it uses less digits than its factorization.

461997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 461997 is about 679.7036118780. The cubic root of 461997 is about 77.3059731955.

It can be divided in two parts, 4 and 61997, that added together give a square (62001 = 249²).

The spelling of 461997 in words is "four hundred sixty-one thousand, nine hundred ninety-seven".