964961 has 4 divisors (see below), whose sum is σ = 978624. Its totient is φ = 951300.

The previous prime is 964939. The next prime is 964967. The reversal of 964961 is 169469.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 169469 = 137 ⋅1237.

It is a cyclic number.

It is not a de Polignac number, because 964961 - 2⁶ = 964897 is a prime.

It is a super-2 number, since 2×964961² = 1862299463042, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 964961.

It is not an unprimeable number, because it can be changed into a prime (964967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6725 + ... + 6866.

It is an arithmetic number, because the mean of its divisors is an integer number (244656).

2⁹⁶⁴⁹⁶¹ is an apocalyptic number.

It is an amenable number.

964961 is a deficient number, since it is larger than the sum of its proper divisors (13663).

964961 is a wasteful number, since it uses less digits than its factorization.

964961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13662.

The product of its digits is 11664, while the sum is 35.

The square root of 964961 is about 982.3242845415. The cubic root of 964961 is about 98.8181199589.

The spelling of 964961 in words is "nine hundred sixty-four thousand, nine hundred sixty-one".