58374 has 32 divisors (see below), whose sum is σ = 138240. Its totient is φ = 18216.

The previous prime is 58369. The next prime is 58379. The reversal of 58374 is 47385.

It is an interprime number because it is at equal distance from previous prime (58369) and next prime (58379).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58379) by changing a digit.

58374 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 15 ways as a sum of consecutive naturals, for example, 1219 + ... + 1265.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2⁵⁸³⁷⁴ is an apocalyptic number.

58374 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 58374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69120).

58374 is an abundant number, since it is smaller than the sum of its proper divisors (79866).

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

58374 is a wasteful number, since it uses less digits than its factorization.

58374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 75 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 58374 is about 241.6071191004. The cubic root of 58374 is about 38.7917898099.

The spelling of 58374 in words is "fifty-eight thousand, three hundred seventy-four".