962961 has 8 divisors (see below), whose sum is σ = 1291200. Its totient is φ = 638352.

The previous prime is 962959. The next prime is 962963. The reversal of 962961 is 169269.

It is a happy number.

962961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (962959) and next prime (962963).

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

It is not a de Polignac number, because 962961 - 2¹ = 962959 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (962963) 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, 210 + ... + 1403.

It is an arithmetic number, because the mean of its divisors is an integer number (161400).

2⁹⁶²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

962961 is a deficient number, since it is larger than the sum of its proper divisors (328239).

962961 is a wasteful number, since it uses less digits than its factorization.

962961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815.

The product of its digits is 5832, while the sum is 33.

The square root of 962961 is about 981.3057627468. The cubic root of 962961 is about 98.7498018476.

Multiplying 962961 by its sum of digits (33), we get a palindrome (31777713).

The spelling of 962961 in words is "nine hundred sixty-two thousand, nine hundred sixty-one".