13491972 has 72 divisors (see below), whose sum is σ = 37180416. Its totient is φ = 4100544.

The previous prime is 13491971. The next prime is 13491977. The reversal of 13491972 is 27919431.

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

It is not an unprimeable number, because it can be changed into a prime (13491971) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 59323 + ... + 59549.

Almost surely, 2^13491972 is an apocalyptic number.

13491972 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 13491972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18590208).

13491972 is an abundant number, since it is smaller than the sum of its proper divisors (23688444).

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

13491972 is a wasteful number, since it uses less digits than its factorization.

13491972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 372 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 13491972 is about 3673.1419792869. The cubic root of 13491972 is about 238.0629497117.

It can be divided in two parts, 1349 and 1972, that added together give a triangular number (3321 = T₈₁).

The spelling of 13491972 in words is "thirteen million, four hundred ninety-one thousand, nine hundred seventy-two".