30961 has 4 divisors (see below), whose sum is σ = 35392. Its totient is φ = 26532.

The previous prime is 30949. The next prime is 30971. The reversal of 30961 is 16903.

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.

It is a cyclic number.

It is not a de Polignac number, because 30961 - 2⁹ = 30449 is a prime.

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

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (30911) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2205 + ... + 2218.

It is an arithmetic number, because the mean of its divisors is an integer number (8848).

2³⁰⁹⁶¹ is an apocalyptic number.

It is an amenable number.

30961 is a deficient number, since it is larger than the sum of its proper divisors (4431).

30961 is an equidigital number, since it uses as much as digits as its factorization.

30961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430.

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 30961 is about 175.9573812035. The cubic root of 30961 is about 31.4006274639.

The spelling of 30961 in words is "thirty thousand, nine hundred sixty-one".