13761252 has 30 divisors (see below), whose sum is σ = 35975478. Its totient is φ = 4586976.

The previous prime is 13761229. The next prime is 13761289. The reversal of 13761252 is 25216731.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9696996 + 4064256 = 3114^2 + 2016^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20913 + ... + 21560.

Almost surely, 2^13761252 is an apocalyptic number.

13761252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13761252 is an abundant number, since it is smaller than the sum of its proper divisors (22214226).

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

13761252 is a wasteful number, since it uses less digits than its factorization.

13761252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42489 (or 42478 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 13761252 is about 3709.6161526498. The cubic root of 13761252 is about 239.6363241946.

Adding to 13761252 its reverse (25216731), we get a palindrome (38977983).

It can be divided in two parts, 1376 and 1252, that added together give a triangular number (2628 = T₇₂).

The spelling of 13761252 in words is "thirteen million, seven hundred sixty-one thousand, two hundred fifty-two".