58984952 has 32 divisors (see below), whose sum is σ = 119750400. Its totient is φ = 27076224.

The previous prime is 58984921. The next prime is 58984957. The reversal of 58984952 is 25948985.

It is a self number, because there is not a number n which added to its sum of digits gives 58984952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58984957) 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, 19049 + ... + 21927.

It is an arithmetic number, because the mean of its divisors is an integer number (3742200).

Almost surely, 2^58984952 is an apocalyptic number.

58984952 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58984952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59875200).

58984952 is an abundant number, since it is smaller than the sum of its proper divisors (60765448).

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

58984952 is a wasteful number, since it uses less digits than its factorization.

58984952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3091 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 50.

The square root of 58984952 is about 7680.1661440362. The cubic root of 58984952 is about 389.2665417053.

The spelling of 58984952 in words is "fifty-eight million, nine hundred eighty-four thousand, nine hundred fifty-two".