56202 has 32 divisors (see below), whose sum is σ = 129600. Its totient is φ = 16128.

The previous prime is 56197. The next prime is 56207. The reversal of 56202 is 20265.

It is an interprime number because it is at equal distance from previous prime (56197) and next prime (56207).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (56207) 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, 1924 + ... + 1952.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

2⁵⁶²⁰² is an apocalyptic number.

56202 is an abundant number, since it is smaller than the sum of its proper divisors (73398).

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 (64800).

56202 is a wasteful number, since it uses less digits than its factorization.

56202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 56202 is about 237.0696100305. The cubic root of 56202 is about 38.3045698951.

Adding to 56202 its reverse (20265), we get a palindrome (76467).

Subtracting from 56202 its reverse (20265), we obtain a cube (35937 = 33³).

The spelling of 56202 in words is "fifty-six thousand, two hundred two".