53970 has 32 divisors (see below), whose sum is σ = 148608. Its totient is φ = 12288.

The previous prime is 53959. The next prime is 53987. The reversal of 53970 is 7935.

53970 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

53970 is an undulating number in base 16.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 53970.

It is a congruent number.

It is an unprimeable number.

53970 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82 + ... + 338.

It is an arithmetic number, because the mean of its divisors is an integer number (4644).

2⁵³⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74304).

53970 is an abundant number, since it is smaller than the sum of its proper divisors (94638).

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

53970 is a wasteful number, since it uses less digits than its factorization.

53970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 53970 is about 232.3144420823. The cubic root of 53970 is about 37.7906306388.

The spelling of 53970 in words is "fifty-three thousand, nine hundred seventy".