58534164 has 90 divisors (see below), whose sum is σ = 165851070. Its totient is φ = 17993664.

The previous prime is 58534159. The next prime is 58534171. The reversal of 58534164 is 46143585.

It is a happy number.

58534164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 11664 + 58522500 = 108^2 + 7650^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 54222 + ... + 55290.

Almost surely, 2^58534164 is an apocalyptic number.

58534164 is a gapful number since it is divisible by the number (54) 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 58534164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82925535).

58534164 is an abundant number, since it is smaller than the sum of its proper divisors (107316906).

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

58534164 is a wasteful number, since it uses less digits than its factorization.

58534164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1087 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 58534164 is about 7650.7623149592. The cubic root of 58534164 is about 388.2723581046.

The spelling of 58534164 in words is "fifty-eight million, five hundred thirty-four thousand, one hundred sixty-four".