1363752 has 96 divisors (see below), whose sum is σ = 4193280. Its totient is φ = 397440.

The previous prime is 1363751. The next prime is 1363753. The reversal of 1363752 is 2573631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1363751) and next prime (1363753).

It is not an unprimeable number, because it can be changed into a prime (1363751) 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, 28993 + ... + 29039.

It is an arithmetic number, because the mean of its divisors is an integer number (43680).

2^1363752 is an apocalyptic number.

1363752 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 1363752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096640).

1363752 is an abundant number, since it is smaller than the sum of its proper divisors (2829528).

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

1363752 is a wasteful number, since it uses less digits than its factorization.

1363752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 96 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 1363752 is about 1167.7979277255. The cubic root of 1363752 is about 110.8949578466.

It can be divided in two parts, 13637 and 52, that added together give a square (13689 = 117²).

The spelling of 1363752 in words is "one million, three hundred sixty-three thousand, seven hundred fifty-two".