7436 has 18 divisors (see below), whose sum is σ = 15372. Its totient is φ = 3120.

The previous prime is 7433. The next prime is 7451. The reversal of 7436 is 6347.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (7433) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 566 + ... + 578.

It is an arithmetic number, because the mean of its divisors is an integer number (854).

2⁷⁴³⁶ is an apocalyptic number.

It is an amenable number.

7436 is an abundant number, since it is smaller than the sum of its proper divisors (7936).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7686).

7436 is a wasteful number, since it uses less digits than its factorization.

7436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 26 counting only the distinct ones).

The product of its digits is 504, while the sum is 20.

The square root of 7436 is about 86.2322445492. The cubic root of 7436 is about 19.5185009599.

Subtracting from 7436 its reverse (6347), we obtain a square (1089 = 33²).

The spelling of 7436 in words is "seven thousand, four hundred thirty-six".