58317792 has 96 divisors (see below), whose sum is σ = 167142528. Its totient is φ = 17696256.

The previous prime is 58317773. The next prime is 58317793. The reversal of 58317792 is 29771385.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58317793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103303 + ... + 103865.

It is an arithmetic number, because the mean of its divisors is an integer number (1741068).

Almost surely, 2^58317792 is an apocalyptic number.

58317792 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 58317792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83571264).

58317792 is an abundant number, since it is smaller than the sum of its proper divisors (108824736).

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

58317792 is a wasteful number, since it uses less digits than its factorization.

58317792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 58317792 is about 7636.6086713933. The cubic root of 58317792 is about 387.7933501195.

The spelling of 58317792 in words is "fifty-eight million, three hundred seventeen thousand, seven hundred ninety-two".