58962 has 16 divisors (see below), whose sum is σ = 122112. Its totient is φ = 18960.

The previous prime is 58943. The next prime is 58963. The reversal of 58962 is 26985.

58962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 5⁴ + 8⁴ + 9⁴ + 6⁶ + 2¹⁰ .

It is a nialpdrome in base 16.

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

58962 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28 + ... + 344.

It is an arithmetic number, because the mean of its divisors is an integer number (7632).

2⁵⁸⁹⁶² is an apocalyptic number.

58962 is an abundant number, since it is smaller than the sum of its proper divisors (63150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61056).

58962 is a wasteful number, since it uses less digits than its factorization.

58962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353.

The product of its digits is 4320, while the sum is 30.

The square root of 58962 is about 242.8209216686. The cubic root of 58962 is about 38.9216045183.

The spelling of 58962 in words is "fifty-eight thousand, nine hundred sixty-two".