58149 has 24 divisors (see below), whose sum is σ = 104832. Its totient is φ = 30240.

The previous prime is 58147. The next prime is 58151. The reversal of 58149 is 94185.

58149 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58147) and next prime (58151).

It is not a de Polignac number, because 58149 - 2¹ = 58147 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 15.

It is a zygodrome in base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58149.

It is not an unprimeable number, because it can be changed into a prime (58147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 784 + ... + 854.

It is an arithmetic number, because the mean of its divisors is an integer number (4368).

2⁵⁸¹⁴⁹ is an apocalyptic number.

It is an amenable number.

58149 is a deficient number, since it is larger than the sum of its proper divisors (46683).

58149 is a wasteful number, since it uses less digits than its factorization.

58149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 94 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 58149 is about 241.1410375693. The cubic root of 58149 is about 38.7418852241.

It can be divided in two parts, 5814 and 9, that multiplied together give a triangular number (52326 = T₃₂₃).

The spelling of 58149 in words is "fifty-eight thousand, one hundred forty-nine".