53919 has 8 divisors (see below), whose sum is σ = 79920. Its totient is φ = 35928.

The previous prime is 53917. The next prime is 53923. The reversal of 53919 is 91935.

It is not a de Polignac number, because 53919 - 2¹ = 53917 is a prime.

It is a super-2 number, since 2×53919² = 5814517122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1997 = 53919 / (5 + 3 + 9 + 1 + 9).

It is a junction number, because it is equal to n+sod(n) for n = 53892 and 53901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53917) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 972 + ... + 1025.

It is an arithmetic number, because the mean of its divisors is an integer number (9990).

2⁵³⁹¹⁹ is an apocalyptic number.

53919 is a deficient number, since it is larger than the sum of its proper divisors (26001).

53919 is a wasteful number, since it uses less digits than its factorization.

53919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 2000 counting only the distinct ones).

The product of its digits is 1215, while the sum is 27.

The square root of 53919 is about 232.2046511162. The cubic root of 53919 is about 37.7787232238.

The spelling of 53919 in words is "fifty-three thousand, nine hundred nineteen".