13058172 has 60 divisors (see below), whose sum is σ = 35004816. Its totient is φ = 4242240.

The previous prime is 13058119. The next prime is 13058191. The reversal of 13058172 is 27185031.

13058172 is a `hidden beast` number, since 13 + 0 + 581 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 12793 + ... + 13775.

Almost surely, 2^13058172 is an apocalyptic number.

13058172 is a gapful number since it is divisible by the number (12) 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 13058172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17502408).

13058172 is an abundant number, since it is smaller than the sum of its proper divisors (21946644).

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

13058172 is a wasteful number, since it uses less digits than its factorization.

13058172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 13058172 is about 3613.6092760563. The cubic root of 13058172 is about 235.4836696048.

13058172 divided by its sum of digits (27) gives a triangular number (483636 = T₉₈₃).

The spelling of 13058172 in words is "thirteen million, fifty-eight thousand, one hundred seventy-two".