53124984 has 160 divisors (see below), whose sum is σ = 168577200. Its totient is φ = 15482880.

The previous prime is 53124977. The next prime is 53124991. The reversal of 53124984 is 48942135.

53124984 is a `hidden beast` number, since 531 + 2 + 49 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (53124977) and next prime (53124991).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 206584 + ... + 206840.

Almost surely, 2^53124984 is an apocalyptic number.

53124984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53124984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84288600).

53124984 is an abundant number, since it is smaller than the sum of its proper divisors (115452216).

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

53124984 is a wasteful number, since it uses less digits than its factorization.

53124984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 302 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 53124984 is about 7288.6887709656. The cubic root of 53124984 is about 375.9236113115.

It can be divided in two parts, 5312 and 4984, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 53124984 in words is "fifty-three million, one hundred twenty-four thousand, nine hundred eighty-four".