59967 has 8 divisors (see below), whose sum is σ = 88880. Its totient is φ = 39960.

The previous prime is 59957. The next prime is 59971. The reversal of 59967 is 76995.

59967 is a `hidden beast` number, since 599 + 67 = 666.

It is not a de Polignac number, because 59967 - 2⁴ = 59951 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1084 + ... + 1137.

It is an arithmetic number, because the mean of its divisors is an integer number (11110).

2⁵⁹⁹⁶⁷ is an apocalyptic number.

59967 is a deficient number, since it is larger than the sum of its proper divisors (28913).

59967 is a wasteful number, since it uses less digits than its factorization.

59967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2224 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 59967 is about 244.8816040457. The cubic root of 59967 is about 39.1414978381.

It can be divided in two parts, 599 and 67, that added together give a palindrome (666).

The spelling of 59967 in words is "fifty-nine thousand, nine hundred sixty-seven".