93961 has 8 divisors (see below), whose sum is σ = 111104. Its totient is φ = 77760.

The previous prime is 93949. The next prime is 93967. The reversal of 93961 is 16939.

It can be divided in two parts, 939 and 61, that added together give a cube (1000 = 10^{3}).

It is a happy number.

93961 is a nontrivial binomial coefficient, being equal to C(434, 2).

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

It is a 2-Lehmer number, since φ(93961) divides (93961-1)^{2}.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-93961 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93967) 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, 1 + ... + 433.

It is an arithmetic number, because the mean of its divisors is an integer number (13888).

It is a Poulet number, since it divides 2^{93960}-1.

2^{93961} is an apocalyptic number.

93961 is the 433-rd triangular number and also the 217-th hexagonal number.

93961 is the 145-th centered nonagonal number.

It is an amenable number.

93961 is a deficient number, since it is larger than the sum of its proper divisors (17143).

93961 is a wasteful number, since it uses less digits than its factorization.

93961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471.

The product of its digits is 1458, while the sum is 28.

The square root of 93961 is about 306.5305857496. The cubic root of 93961 is about 45.4620703906.

The spelling of 93961 in words is "ninety-three thousand, nine hundred sixty-one".

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