52974 has 24 divisors (see below), whose sum is σ = 120120. Its totient is φ = 17496.

The previous prime is 52973. The next prime is 52981. The reversal of 52974 is 47925.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2520) is a multiple of the sum of its prime factors (126).

It is a plaindrome in base 11 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432 + ... + 540.

It is an arithmetic number, because the mean of its divisors is an integer number (5005).

2⁵²⁹⁷⁴ is an apocalyptic number.

52974 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60060).

52974 is an abundant number, since it is smaller than the sum of its proper divisors (67146).

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

52974 is a wasteful number, since it uses less digits than its factorization.

52974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 52974 is about 230.1608133458. The cubic root of 52974 is about 37.5567141835.

The spelling of 52974 in words is "fifty-two thousand, nine hundred seventy-four".