92052 has 18 divisors (see below), whose sum is σ = 232778. Its totient is φ = 30672.

The previous prime is 92051. The next prime is 92077. The reversal of 92052 is 25029.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 15876 = 276^2 + 126^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×92052³ = 2340027391333824, which contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92051) 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, 1243 + ... + 1314.

2⁹²⁰⁵² is an apocalyptic number.

It is an amenable number.

92052 is an abundant number, since it is smaller than the sum of its proper divisors (140726).

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

92052 is a wasteful number, since it uses less digits than its factorization.

92052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 92052 is about 303.4007251145. The cubic root of 92052 is about 45.1520780639.

The spelling of 92052 in words is "ninety-two thousand, fifty-two".