53873100 has 126 divisors (see below), whose sum is σ = 175513940. Its totient is φ = 14346720.

The previous prime is 53873087. The next prime is 53873101. The reversal of 53873100 is 137835.

It is a super-2 number, since 2×53873100² = 5804621807220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (53873101) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 72531 + ... + 73269.

Almost surely, 2^53873100 is an apocalyptic number.

53873100 is a gapful number since it is divisible by the number (50) 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 53873100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87756970).

53873100 is an abundant number, since it is smaller than the sum of its proper divisors (121640840).

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

53873100 is a wasteful number, since it uses less digits than its factorization.

53873100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 749 counting only the distinct ones).

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

The square root of 53873100 is about 7339.8296982968. The cubic root of 53873100 is about 377.6800012880.

The spelling of 53873100 in words is "fifty-three million, eight hundred seventy-three thousand, one hundred".