92961 has 16 divisors (see below), whose sum is σ = 150720. Its totient is φ = 56160.

The previous prime is 92959. The next prime is 92987. The reversal of 92961 is 16929.

It is a happy number.

It is not a de Polignac number, because 92961 - 2¹ = 92959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141 + ... + 453.

It is an arithmetic number, because the mean of its divisors is an integer number (9420).

2⁹²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

92961 is a deficient number, since it is larger than the sum of its proper divisors (57759).

92961 is a wasteful number, since it uses less digits than its factorization.

92961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 92961 is about 304.8950639154. The cubic root of 92961 is about 45.3002149018.

92961 divided by its sum of digits (27) gives a palindrome (3443).

It can be divided in two parts, 929 and 61, that added together give a triangular number (990 = T₄₄).

The spelling of 92961 in words is "ninety-two thousand, nine hundred sixty-one".