33961 has 2 divisors, whose sum is σ = 33962. Its totient is φ = 33960.

The previous prime is 33941. The next prime is 33967. The reversal of 33961 is 16933.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20736 + 13225 = 144^2 + 115^2 .

It is a cyclic number.

It is not a de Polignac number, because 33961 - 2¹⁵ = 1193 is a prime.

It is a Chen prime.

33961 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (33967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16980 + 16981.

It is an arithmetic number, because the mean of its divisors is an integer number (16981).

2³³⁹⁶¹ is an apocalyptic number.

It is an amenable number.

33961 is a deficient number, since it is larger than the sum of its proper divisors (1).

33961 is an equidigital number, since it uses as much as digits as its factorization.

33961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 486, while the sum is 22.

The square root of 33961 is about 184.2851052039. The cubic root of 33961 is about 32.3837265226.

It can be divided in two parts, 339 and 61, that added together give a square (400 = 20²).

The spelling of 33961 in words is "thirty-three thousand, nine hundred sixty-one".