5171400 has 216 divisors, whose sum is σ = 19912230. Its totient is φ = 1198080.

The previous prime is 5171381. The next prime is 5171407. The reversal of 5171400 is 41715.

It can be written as a sum of positive squares in 9 ways, for example, as 324 + 5171076 = 18^2 + 2274^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5171407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 304192 + ... + 304208.

Almost surely, 2^5171400 is an apocalyptic number.

5171400 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 5171400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9956115).

5171400 is an abundant number, since it is smaller than the sum of its proper divisors (14740830).

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

5171400 is a wasteful number, since it uses less digits than its factorization.

5171400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 5171400 is about 2274.0712389897. The cubic root of 5171400 is about 172.9296159719.

It can be divided in two parts, 5 and 171400, that added together give a triangular number (171405 = T₅₈₅).

The spelling of 5171400 in words is "five million, one hundred seventy-one thousand, four hundred".