19713132 has 72 divisors (see below), whose sum is σ = 54761616. Its totient is φ = 6179328.

The previous prime is 19713131. The next prime is 19713137. The reversal of 19713132 is 23131791.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 19713096 and 19713105.

It is not an unprimeable number, because it can be changed into a prime (19713131) 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, 15928 + ... + 17120.

It is an arithmetic number, because the mean of its divisors is an integer number (760578).

Almost surely, 2^19713132 is an apocalyptic number.

19713132 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 19713132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27380808).

19713132 is an abundant number, since it is smaller than the sum of its proper divisors (35048484).

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

19713132 is a wasteful number, since it uses less digits than its factorization.

19713132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1215 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 19713132 is about 4439.9472969845. The cubic root of 19713132 is about 270.1377075312.

The spelling of 19713132 in words is "nineteen million, seven hundred thirteen thousand, one hundred thirty-two".