462961 has 8 divisors (see below), whose sum is σ = 496584. Its totient is φ = 430080.

The previous prime is 462953. The next prime is 462983. The reversal of 462961 is 169264.

462961 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 4 ways, for example, as 53361 + 409600 = 231^2 + 640^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 462961 - 2³ = 462953 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462901) 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, 1801 + ... + 2041.

It is an arithmetic number, because the mean of its divisors is an integer number (62073).

2⁴⁶²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

462961 is a deficient number, since it is larger than the sum of its proper divisors (33623).

462961 is a wasteful number, since it uses less digits than its factorization.

462961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371.

The product of its digits is 2592, while the sum is 28.

The square root of 462961 is about 680.4123749609. The cubic root of 462961 is about 77.3597045582.

The spelling of 462961 in words is "four hundred sixty-two thousand, nine hundred sixty-one".