53950 has 24 divisors (see below), whose sum is σ = 109368. Its totient is φ = 19680.

The previous prime is 53939. The next prime is 53951. The reversal of 53950 is 5935.

53950 = 3² + 4² + ... + 54².

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 609 + ... + 691.

It is an arithmetic number, because the mean of its divisors is an integer number (4557).

2⁵³⁹⁵⁰ is an apocalyptic number.

53950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53950 is an abundant number, since it is smaller than the sum of its proper divisors (55418).

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 (54684).

53950 is a wasteful number, since it uses less digits than its factorization.

53950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 22.

The square root of 53950 is about 232.2713929867. The cubic root of 53950 is about 37.7859619587.

The spelling of 53950 in words is "fifty-three thousand, nine hundred fifty".