50652 has 48 divisors (see below), whose sum is σ = 152320. Its totient is φ = 14256.

The previous prime is 50651. The next prime is 50671. The reversal of 50652 is 25605.

It is a Cunningham number, because it is equal to 37³-1.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50651) 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, 723 + ... + 789.

2⁵⁰⁶⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76160).

50652 is an abundant number, since it is smaller than the sum of its proper divisors (101668).

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

50652 is a wasteful number, since it uses less digits than its factorization.

50652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 50652 is about 225.0599920021. The cubic root of 50652 is about 36.9997565117. Note that the first 3 decimals are identical.

The spelling of 50652 in words is "fifty thousand, six hundred fifty-two".