13838772 has 24 divisors (see below), whose sum is σ = 33332992. Its totient is φ = 4464000.

The previous prime is 13838753. The next prime is 13838791. The reversal of 13838772 is 27783831.

13838772 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 (13838753) and next prime (13838791).

It is a super-2 number, since 2×13838772² = 383023220935968, which contains 22 as substring.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 13838772.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18229 + ... + 18972.

Almost surely, 2^13838772 is an apocalyptic number.

13838772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13838772 is an abundant number, since it is smaller than the sum of its proper divisors (19494220).

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

13838772 is a wasteful number, since it uses less digits than its factorization.

13838772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37239 (or 37237 counting only the distinct ones).

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

The square root of 13838772 is about 3720.0499996640. The cubic root of 13838772 is about 240.0854556797.

The spelling of 13838772 in words is "thirteen million, eight hundred thirty-eight thousand, seven hundred seventy-two".