52962 has 32 divisors (see below), whose sum is σ = 131712. Its totient is φ = 13824.

The previous prime is 52957. The next prime is 52963. The reversal of 52962 is 26925.

52962 is a modest number, since divided by 962 gives 52 as remainder.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52962.

It is not an unprimeable number, because it can be changed into a prime (52963) 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, 498 + ... + 594.

It is an arithmetic number, because the mean of its divisors is an integer number (4116).

2⁵²⁹⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65856).

52962 is an abundant number, since it is smaller than the sum of its proper divisors (78750).

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

52962 is a wasteful number, since it uses less digits than its factorization.

52962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122.

The product of its digits is 1080, while the sum is 24.

The square root of 52962 is about 230.1347431398. The cubic root of 52962 is about 37.5538781091.

The spelling of 52962 in words is "fifty-two thousand, nine hundred sixty-two".