461967 has 8 divisors (see below), whose sum is σ = 672000. Its totient is φ = 279960.

The previous prime is 461957. The next prime is 461971. The reversal of 461967 is 769164.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 461967 - 2¹² = 457871 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 13999 = 461967 / (4 + 6 + 1 + 9 + 6 + 7).

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 7 ways as a sum of consecutive naturals, for example, 6967 + ... + 7032.

It is an arithmetic number, because the mean of its divisors is an integer number (84000).

2⁴⁶¹⁹⁶⁷ is an apocalyptic number.

461967 is a deficient number, since it is larger than the sum of its proper divisors (210033).

461967 is a wasteful number, since it uses less digits than its factorization.

461967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14013.

The product of its digits is 9072, while the sum is 33.

The square root of 461967 is about 679.6815430773. The cubic root of 461967 is about 77.3042998589.

The spelling of 461967 in words is "four hundred sixty-one thousand, nine hundred sixty-seven".