58966 has 4 divisors (see below), whose sum is σ = 88452. Its totient is φ = 29482.

The previous prime is 58963. The next prime is 58967. The reversal of 58966 is 66985.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 66985 = 5 ⋅13397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14740 + ... + 14743.

It is an arithmetic number, because the mean of its divisors is an integer number (22113).

2⁵⁸⁹⁶⁶ is an apocalyptic number.

58966 is a deficient number, since it is larger than the sum of its proper divisors (29486).

58966 is a wasteful number, since it uses less digits than its factorization.

58966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29485.

The product of its digits is 12960, while the sum is 34.

The square root of 58966 is about 242.8291580515. The cubic root of 58966 is about 38.9224846496.

It can be divided in two parts, 58 and 966, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 58966 in words is "fifty-eight thousand, nine hundred sixty-six".