461965 has 16 divisors (see below), whose sum is σ = 646272. Its totient is φ = 310464.

The previous prime is 461957. The next prime is 461971. The reversal of 461965 is 569164.

461965 = 7² + 8² + ... + 111².

It is not a de Polignac number, because 461965 - 2³ = 461957 is a prime.

It is a super-2 number, since 2×461965² = 426823322450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2247 + ... + 2443.

It is an arithmetic number, because the mean of its divisors is an integer number (40392).

2⁴⁶¹⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

461965 is a deficient number, since it is larger than the sum of its proper divisors (184307).

461965 is a wasteful number, since it uses less digits than its factorization.

461965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276.

The product of its digits is 6480, while the sum is 31.

The square root of 461965 is about 679.6800717985. The cubic root of 461965 is about 77.3041883006.

The spelling of 461965 in words is "four hundred sixty-one thousand, nine hundred sixty-five".