461961 has 6 divisors (see below), whose sum is σ = 667290. Its totient is φ = 307968.

The previous prime is 461957. The next prime is 461971. The reversal of 461961 is 169164.

It can be written as a sum of positive squares in only one way, i.e., 447561 + 14400 = 669^2 + 120^2 .

It is not a de Polignac number, because 461961 - 2² = 461957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (461921) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25656 + ... + 25673.

It is an arithmetic number, because the mean of its divisors is an integer number (111215).

2⁴⁶¹⁹⁶¹ is an apocalyptic number.

It is an amenable number.

461961 is a deficient number, since it is larger than the sum of its proper divisors (205329).

461961 is a wasteful number, since it uses less digits than its factorization.

461961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51335 (or 51332 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 461961 is about 679.6771292312. The cubic root of 461961 is about 77.3039651829.

The spelling of 461961 in words is "four hundred sixty-one thousand, nine hundred sixty-one".