59961 has 16 divisors (see below), whose sum is σ = 92160. Its totient is φ = 34320.

The previous prime is 59957. The next prime is 59971. The reversal of 59961 is 16995.

It is not a de Polignac number, because 59961 - 2² = 59957 is a prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (59921) 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, 720 + ... + 798.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

2⁵⁹⁹⁶¹ is an apocalyptic number.

It is an amenable number.

59961 is a deficient number, since it is larger than the sum of its proper divisors (32199).

59961 is a wasteful number, since it uses less digits than its factorization.

59961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116.

The product of its digits is 2430, while the sum is 30.

The square root of 59961 is about 244.8693529211. The cubic root of 59961 is about 39.1401923600.

The spelling of 59961 in words is "fifty-nine thousand, nine hundred sixty-one".