13873782 has 32 divisors (see below), whose sum is σ = 30256128. Its totient is φ = 4215456.

The previous prime is 13873763. The next prime is 13873787. The reversal of 13873782 is 28737831.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 13873782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13873787) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5403 + ... + 7545.

It is an arithmetic number, because the mean of its divisors is an integer number (945504).

Almost surely, 2^13873782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13873782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15128064).

13873782 is an abundant number, since it is smaller than the sum of its proper divisors (16382346).

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

13873782 is a wasteful number, since it uses less digits than its factorization.

13873782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244.

The product of its digits is 56448, while the sum is 39.

The square root of 13873782 is about 3724.7526092346. The cubic root of 13873782 is about 240.2877451513.

It can be divided in two parts, 138 and 73782, that added together give a triangular number (73920 = T₃₈₄).

The spelling of 13873782 in words is "thirteen million, eight hundred seventy-three thousand, seven hundred eighty-two".