29961 has 6 divisors (see below), whose sum is σ = 43290. Its totient is φ = 19968.

The previous prime is 29959. The next prime is 29983. The reversal of 29961 is 16992.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 24336 + 5625 = 156^2 + 75^2 .

It is not a de Polignac number, because 29961 - 2¹ = 29959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1656 + ... + 1673.

It is an arithmetic number, because the mean of its divisors is an integer number (7215).

2²⁹⁹⁶¹ is an apocalyptic number.

It is an amenable number.

29961 is a deficient number, since it is larger than the sum of its proper divisors (13329).

29961 is a wasteful number, since it uses less digits than its factorization.

29961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3332 counting only the distinct ones).

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

The square root of 29961 is about 173.0924608410. The cubic root of 29961 is about 31.0588545464.

It can be divided in two parts, 29 and 961, that added together give a triangular number (990 = T₄₄).

The spelling of 29961 in words is "twenty-nine thousand, nine hundred sixty-one".